Question

2 power 5 × 9 power ÷ 8 power 2 × 3 power 5

Answer 1

Answer:

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Answer 2

Complete question:

Find the value of  $\frac{2^5 \times 9^2}{8^2 \times 3^5}$.

Answer:

The value of the given equation $\frac{2^5 \times 9^2}{8^2 \times 3^5}$ is 1/6.

Step-by-step explanation:

Assumption,

Let the value $\frac{2^5 \times 9^2}{8^2 \times 3^5}$ be 'x'.

Given,

$\frac{2^5 \times 9^2}{8^2 \times 3^5}$ = x

To find,

The value of 'x'.

Calculation,

$\frac{2^5 \times 9^2}{8^2 \times 3^5}$ = x...(1)

We know that the value of:

2⁵ = 2 × 2 × 2 × 2 × 2 = 32

9² = 9 × 9 = 81

8² = 8 × 8 = 64

3⁵ = 3 × 3 × 3 × 3 × 3 = 243

Now we substitute the above values in equation (1), and we get:

(32) × (81)/(64) × (243) = x

·⇒ 1/(2)(3) = x

⇒ 1/6 = x

Therefore, the value of the given equation $\frac{2^5 \times 9^2}{8^2 \times 3^5}$ is 1/6.

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