Mathematics: What is the value of the expression below? (9^2) ^1/4

What is the value of the expression below? (9^2)

damientran

06.01.2022

Step-by-step explanation:

1. Note that 9=3^2.

2. Use property $(a^m)^n=a^{m\cdot n},$ then

$9^2=(3^2)^2=3^{2\cdot 2}=3^4.$

3. Use the same property, thus

$(9^2)^{\frac{1}{4}}=(3^4)^{\frac{1}{4}}=3^{4\cdot \frac{1}{4}}=3^1=3.$

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patrickwilson

06.01.2022

ANSWER

EXPLANATION

The given expression is

${(9}^{2} )^{ \frac{1}{4} }$

Recall and use the property:

$({a}^{m})^{n} = {a}^{mn}$

$= {(9})^{ 2 \times \frac{1}{4} }$

$= {9}^{ \frac{1}{2} }$

$= \sqrt{9}$

= 3

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heyperdomo4369

12.01.2020

You see 25 squares because length×height=area, and the area of a figure is how many of something is in it.

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