Answer:
1. y³
2. 4x²
3. 125y^5 (5 is the exponent)
4. a²
5. 1
Step-by-step explanation:
1. in number 1, since y is multiplied 3 times, then we can simplify this by using the exponent 3, so y×y×y becomes y³
2. in number 2, we simply multiply 2x by itself, (2×2=4, x×x=x²) giving us the answer of 4x².
3. we multiply 5 by itself three times, giving us 125 and then, according the law of exponents, we add the exponent 2 and 3 since we are multiplying exponents. therefore, the answer is 125x^5 wherein 5 is the exponent.
4. we subtract the exponent 5 to 3 (application of law of exponents) giving us the answer a².
5. according to the law of exponents, any number raise to zero is equal to 1, therefore the answer here is 1.
hope it helps!
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Answers & Comments
Answer:
1. y³
2. 4x²
3. 125y^5 (5 is the exponent)
4. a²
5. 1
Step-by-step explanation:
1. in number 1, since y is multiplied 3 times, then we can simplify this by using the exponent 3, so y×y×y becomes y³
2. in number 2, we simply multiply 2x by itself, (2×2=4, x×x=x²) giving us the answer of 4x².
3. we multiply 5 by itself three times, giving us 125 and then, according the law of exponents, we add the exponent 2 and 3 since we are multiplying exponents. therefore, the answer is 125x^5 wherein 5 is the exponent.
4. we subtract the exponent 5 to 3 (application of law of exponents) giving us the answer a².
5. according to the law of exponents, any number raise to zero is equal to 1, therefore the answer here is 1.
hope it helps!