We have been given an expression $\left( 4^{-2} \cdot 4^{-3} \right)^{3}$ . We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, $a^m\cdot a^n=a^{m+n}$ , we cab rewrite our given expression as:

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

$\left( 4^{-5} \right)^{3}$

Now we will use exponent property $(a^m)^n=a^{m\cdot n}$ to further simplify our expression.

$\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}$

$\left( 4^{-5} \right)^{3}= 4^{-15}$

Therefore, Chris made mistake in step 2.

8 0

3 years ago

A positive integer squared plus 3 times it’s consecutive integer is equal to 43

Eduardwww [97]

Answer:

the integer is 5

Step-by-step explanation:

x^2+3(x+1)=43

x^2+3x+3=43

x^2+3x+(9/4)=43-3+(9/4)

(x+(3/2))^2=42 1/4

x+(3/2)=sqrt(42 1/4)

x+(3/2)=6 1/2

x=(6 1/2)-(3/2)

x=5

check:

5^2+3(6)=43

25+18=43

43=43

3 0

2 years ago

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Thomas had 120 chicks 2/5 part given to Luke 1/4 part given to John. how many chicks does Mr. Thomas have now?

OlgaM077 [116]

Answer:

3248506784372764779684968'&'

6 0

3 years ago

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X is from a to b translates to a≤x≤b<br><br> A. True<br> B. False

JulsSmile [24]

Answer:

True

Step-by-step explanation:

mark brainliest

3 0

3 years ago

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