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LAWS OF EXPONENTS

Answers with Step-by-step explanation:

1) 5⁰ = N

Solution:

Any number, except zero, raised to the power of zero will yield 1 as the result no matter how big or small the number is. So 5 raised to zero is equal to 1. Therefore, the value of N is 1.

2) 6² + 3² = N

Solution:

Since the bases are different, let us evaluate each separately. Six raised to two is equal to 6 times 6 which is 36 while 3 raised to two is equal to 3 times 3 which is 9. Thirty-six plus 9 is equal to 45. Therefore, the value of N is 45.

3) 9³- 8² = N

Solution:

Nine raised to three is equal to 9 times 9 times 9 which is equal to 729 while 8 squared is 8 times 8 which is 64. Taking away 64 from 729 will yield 665. Therefore, the value of N is 665.

4) 2⁵+ 2⁴ = N

Solution:

Two raised to five is 32 while 2 raised to 4 is 16. Adding 32 and 16 will yield 48. Therefore, the value of N is 48.

5) 5⁰ x 3² + 5³ = N

Solution:

Using GEMDAS, let us first evaluate all the exponents. Five raised to zero is 1, 3 raised to 2 is 9 while 5 raised to 3 is 125. So the equation will become:

1 x 9 + 125 = N

Then evaluate multiplication first, 1 times 9 is 9, leaving us with 9 + 125 = N.

Since 9 plus 125 is 134, therefore, the value of N is 134.

Learn more about laws of exponents:

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