Question

${(( - 8)}^{ - 2}) ^{ - 6} \times {( - 8)}^{ - 4}$
simplify with full explanation​

Answer 1

Answer:

(-8)⁸

Step-by-step explanation:

$( - 8^{ - 2} ) ^{ - 6} \times ( { - 8)}^{ - 4} \\ = {( - 8)}^{ - 2 \times - 6} \times ( { - 8)}^{ - 4} \\ = ( { - 8)}^{ 12} \times ( - 8 {)}^{ - 4} \\ = {( - 8)}^{12 + ( - 4)} \\ = {( - 8)}^{12 - 4} \\ = {( - 8)}^{8}$

Hence the answer is (-8)⁸.

.

Some rule about exponent you should know, when bases (here x) are same -

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

When exponent are same -

${x}^{m} \times {y}^{m} = ( {x \times y)}^{m}$

hope it helps.