Mathematics: Simplify using positive exponents 1. (5^3)^5 2. 7^-2/5^-2 3. -3(5+27)^0 4. 10^-2

Simplify using positive exponents 1. (5^3)^5 2.

Ответ:

blackjack73

14.03.2022

Remember, when you distribute exponents, you distribute them to the existing exponent (if there is one) AND the coefficient. Here's the math:

1. (5^3)^5

Distribute (^5)

to 5 and

Multiply the terms accordingly

25^1^5

2. $\frac{7^-^2}{5^-^2}$

Multiply the numerator and denominator by

$\frac{7^-^2}{5^-^2}=( \frac{7}{5})^-^2$

Use the Negative Exponent Rule to rearrange the expression

$(\frac{5}{7})^2$

Square the numerator and denominator

$\frac{5^2}{7^2}$

Simplify

$\frac{25}{49}$

3. -3(5+27)^0 = 0

If something is multiplied to the power of 0, than it is equal to 0

4. 10^-^2

For this, we will once again use the Negative Exponents Rule (find the reciprocal and change the negative exponent to its opposite)

$\frac{1}{10^2}$

Simplify

$\frac{1}{100}$

Answers:

1. 25^1^5

2. $\frac{25}{49}$

3.

4. $\frac{1}{100}$

Hope this helps!

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Simplify using positive exponents 1. (5^3)^5 2. 7^-2/5^-2 3. -3(5+27)^0 4. 10^-2

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