Changing Exponential to Radical Expression and Vice - Versa
To change an exponential to radical expression, identify the denominator. Place the denominator as the index for the radical expression. The numerator will be the power by which the radicand will be raised. To change radical expression to exponential, place the index as the denominator of the fractional exponent. Make sure to take note of the negative exponents.
Learning Task 2:
Answers:
A.
( )²
( )²
( )³
B.
7⁵⁾³
11x¹⁾²
4m⁸⁾⁵
2a¹⁾⁴
2048¹⁾³
(228¹⁾⁴)¹⁾³
Solutions:
A.
1. The denominator of the fractional exponent will be placed as the index of the radical expression while the numerator will be placed as the power by which the radicand is being raised to. Thus, the answer will be ( )².
2. The given has a negative exponent so we will have its reciprocal which will give .
3. The denominator of the fractional exponent will be placed as the index of the radical expression while the numerator will be placed as the power by which the radicand is being raised to. Thus, the answer will be .
4. The denominator of the fractional exponent will be placed as the index of the radical expression while the numerator will be placed as the power by which the radicand is being raised to. Thus, the answer will be ( )².
5. The denominator of the fractional exponent will be placed as the index of the radical expression while the numerator will be placed as the power by which the radicand is being raised to. Thus, the answer will be ( )³.
B.
1. The index will be placed as the denominator of the exponent of the exponential expression. Thus the answer is 7⁵⁾³.
2. The index will be placed as the denominator of the exponent of the exponential expression. Thus the answer is 11x¹⁾².
3. The index will be placed as the denominator of the exponent of the exponential expression. Thus the answer is 4m⁸⁾⁵.
4. The index will be placed as the denominator of the exponent of the exponential expression. Thus the answer is 2a¹⁾⁴.
5. The index will be placed as the denominator of the exponent of the exponential expression. Thus the answer is 2048¹⁾³.
6. The index will be placed as the denominator of the exponent of the exponential expression. Thus the answer is (228¹⁾⁴)¹⁾³.
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Changing Exponential to Radical Expression and Vice - Versa
To change an exponential to radical expression, identify the denominator. Place the denominator as the index for the radical expression. The numerator will be the power by which the radicand will be raised. To change radical expression to exponential, place the index as the denominator of the fractional exponent. Make sure to take note of the negative exponents.
Learning Task 2:
Answers:
A.
B.
Solutions:
A.
1. The denominator of the fractional exponent will be placed as the index of the radical expression while the numerator will be placed as the power by which the radicand is being raised to. Thus, the answer will be (
)².
2. The given has a negative exponent so we will have its reciprocal which will give
.
3. The denominator of the fractional exponent will be placed as the index of the radical expression while the numerator will be placed as the power by which the radicand is being raised to. Thus, the answer will be
.
4. The denominator of the fractional exponent will be placed as the index of the radical expression while the numerator will be placed as the power by which the radicand is being raised to. Thus, the answer will be (
)².
5. The denominator of the fractional exponent will be placed as the index of the radical expression while the numerator will be placed as the power by which the radicand is being raised to. Thus, the answer will be (
)³.
B.
1. The index will be placed as the denominator of the exponent of the exponential expression. Thus the answer is 7⁵⁾³.
2. The index will be placed as the denominator of the exponent of the exponential expression. Thus the answer is 11x¹⁾².
3. The index will be placed as the denominator of the exponent of the exponential expression. Thus the answer is 4m⁸⁾⁵.
4. The index will be placed as the denominator of the exponent of the exponential expression. Thus the answer is 2a¹⁾⁴.
5. The index will be placed as the denominator of the exponent of the exponential expression. Thus the answer is 2048¹⁾³.
6. The index will be placed as the denominator of the exponent of the exponential expression. Thus the answer is (228¹⁾⁴)¹⁾³.
What are exponential expressions: brainly.ph/question/9600453
What are radical expressions: brainly.ph/question/2363121
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