Question

What does 8/7 to the power of 4 equel

Answer 1

Answer:

The equivalent expression $\frac{8^4}{7^4} = \frac{4096}{2401}\approx 1.71$

Step-by-step explanation:

Given:

$(\frac{8}{7})^4$

We need to find the equivalent for given expression.

Solution:

$(\frac{8}{7})^4$

Now by using Law of indices which states;

$(\frac{a}{b})^n= \frac{a^n}{b^n}$

So applying the same in given expression we get;

$\frac{8^4}{7^4}$

Now we can say that;

$8^4 = 8 \times 8 \times 8 \times 8$

Also

$7^4 = 7 \times 7 \times 7 \times 7$

$\frac{8^4}{7^4} = \frac{8 \times 8 \times 8 \times 8}{7 \times 7 \times 7 \times 7}$

Now We know that;

$8 \times 8 \times 8 \times 8 = 4096$

$7 \times 7 \times 7 \times 7 = 2401$

On substituting we get;

$\frac{8^4}{7^4} = \frac{4096}{2401}\approx 1.71$

Hence The equivalent expression $\frac{8^4}{7^4} = \frac{4096}{2401}\approx 1.71$