Question

solve pls brainliest

Answer 1

Step-by-step explanation:

If we have a fraction raised to a power,

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

that equals

$\frac{a {}^{n} }{b {}^{n} }$

where n is the power we raising to.

Why? Remeber an exponent means that we multiply the base the number of exponent tells us.

For example,

${5}^{2} = 5 \times 5$

or

$6 {}^{4} = 6 \times 6 \times 6 \times 6$

Here this applies to fraction.

If we have fraction 2/3,

and raised to the 3rd power then we get

$( \frac{2}{3} ) {}^{3} = \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3}$

which equals

$\frac{8}{27}$

which also equals

$\frac{2 {}^{3} }{3 {}^{3} }$

So we have proved this using numbers so let go back to the problem.

$( \frac{3}{4}) {}^{3} = \frac{27}{64}$