Question

Simplify the expression. Write your answer as a power.

Answer 1

Step-by-step explanation:

$\twoheadrightarrow \: \: \sf{ {( - 4)}^{3} \cdot{( - 4)}^{7}}$

As we know that,

$\odot \: \sf{ {a}^{n} \cdot{a}^{m} = {a}^{n + m} }$

So,

$\twoheadrightarrow \: \: \sf{ {( - 4)}^{3 + 7} }$

$\twoheadrightarrow \: \: \sf{ {( - 4)}^{10} }$

Answer 2

Answer:

= 4^12

16777216

= 16,777,216

Step-by-step explanation:

-4^5 *  -4^7

we add powers in all circumstances where both powers would naturally stay inside brackets = (4^5)x( 4^7) = 4^12

(-4 x-4 x-4 x-4 x -4 )  x  (-4x-4x-4x-4x-4x-4x-4)

= -1024 x -16384 = 16777216

because

1024 x 16384 = 16777216

if one was shown as (4^5)^7 then it would be a completely differnet question and then we would multiply the powers but symetrical multiplications like -4^5 x -4^7 we add them.