Question

Pls answer only if u know
DO NOT SPAM ..​

Answer 1

Answer:

if it helps you pls mark me brainliest

Answer 2

Question

Solve → $[(\frac{1}{4})^{-3} - (\frac{2}{3})^{-3}]\div (\frac{4}{7})^{-2}$

$\rule{300}{1}$

Answer

For this question we must apply laws of exponents.

We'll apply this law of exponent first ⇒ $a^{-m}=\frac{1}{a^{m}}$

$[(\frac{1}{4})^{-3} - (\frac{2}{3})^{-3}]\div (\frac{4}{7})^{-2}$

$[(4)^{3} - (\frac{3}{2})^{3}]\div (\frac{7}{4})^{2}$

Now we will find the actual value and remove the exponent.

$[64 - \frac{27}{8}]\div \frac{49}{16}$

We shall do the brackets first according to BODMAS.

$[\frac{64\times 8 }{1 \times 8 } - \frac{27}{8}]\div \frac{49}{16}$

$[\frac{512 }{8 } - \frac{27}{8}]\div \frac{49}{16}$

$\frac{485}{8} \div \frac{49}{16}$

Since this is division of fraction we must find reciprocal of second number and multiply.

$\frac{485}{8} \times \frac{16}{49}$

$\frac{485}{8\div 8} \times \frac{16\div 8 }{49}$

$\frac{485}{1} \times \frac{ 2 }{49}$

$\frac{970}{49}$

$\bf \therefore [(\frac{1}{4})^{-3} - (\frac{2}{3})^{-3}]\div (\frac{4}{7})^{-2} = \frac{970}{49}$

$\rule{300}{1}$