Question

Using law of exponents, simplify the following.​

Answer 1

$\huge \red{ ({\frac{2}{3} )}^{ - 7} }$

Step-by-step explanation:

${( \frac{2}{3} )}^{ - 4} \times {( \frac{2}{3} )}^{ - 3} \\ \\ = > {( \frac{2}{3}) }^{ - 4 + ( - 3)} \\ \\ = > {( \frac{2}{3}) }^{ - 7}$

Hence the answer is (2/3)^-7

Note :-

some laws of exponent when bases are same

${x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} \\ {( {x}^{m}) }^{n} = {x}^{m \times n}$

using first one we solved the question.

hope it helps.

Answer 2

Answer:

Using law of same base

$(\frac{2}{3} )^{-4+(-3)}$

=(2/3)^-7

Step-by-step explanation: