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How do you simplify #(-4•2^2)^2 (5•2^3)#?

Answer 1

Kennedy Adams

#color(red)(=10240#

#(-4xx2^2)^2(5xx2^3)#

Law: #color(magenta)((ab)^m=a^mxxb^m#

#=(-4^2xx(2^2)^2)(5xx2^3)#

Law: #color(magenta)((a^m)^n=a^(mn)#

#=(-4^2xx2^4)(5xx2^3)#

#=(16xx16)(5xx8)#

#=256xx40#

#color(red)(=10240#

~Hope this helps! :)

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Answer 2

Eva Abramson

To simplify the expression ((-4 \cdot 2^2)^2 \cdot (5 \cdot 2^3)), first, perform the operations inside the parentheses and exponents.

((-4 \cdot 2^2)^2 = (-4 \cdot 4)^2 = (-16)^2 = 256).

(5 \cdot 2^3 = 5 \cdot 8 = 40).

Then, multiply the results together:

(256 \cdot 40 = 10240).

So, the simplified expression is (10240).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.