Mathematics: Question 1: rewrite the rational exponent as a radical: 5 to the 3 over 4 power, to the 2 over 3 power a.) the cube root of 5 squared. b.) the twelfth root of 5. c.) the square root of 5. d.) the cube root of 5 the fourth power. question 2: explain how the quotient of powers was used to simplify this expression: 5 to the fourth power, over 25 = 52 a.) by simplifying 25 to 52 to make both powers base five, and subtracting the exponents. b.) by simplifying 25 to 52 to make both powers base five, and

2,080 explanation: 20x8x13= 2,080....

Question 1: rewrite the rational exponent as a radical:

joejoefofana

05.01.2022

1.C.The square root of 5

2.A.by simplifying 25 to 5^2 to make both powers base five, and subtracting the exponents.

Step-by-step explanation:

1.We are given that

$((5)^{\frac{3}{4}})^{\frac{2}{3}$

We have to rewrite the rational exponent as a radical.

Radical expression includes square root, cube root, fourth root etc.

$(5)^\frac{3}{4}\times \frac{2}{3}$

By using the property $(a^x)^y=a^{xy}$

$(5)^{\frac{1}{2}}=\sqrt5$

Hence, option C is correct.

2.We are given that

$\frac{5^4}{25}$

The expression can be write as

$\frac{5^4}{5^2}$

We know that $\frac{a^x}{a^y}=a^{x-y}$

Using the property

$5^{4-2}=5^2$

Hence, the option A is true.

A. By simplifying 25 to 5^2 to make both powers base five , and subtracting the exponents.

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