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2 years ago

(X^-3)^2(x^-2)^3 PLS SIMPLIFY?!!!

Mathematics

1 answer:

sergiy2304 [10]2 years ago

5 0

Answer:

$\frac{1}{x^1^2}$

Step-by-step explanation:

Use this rule to simplify the parenthesis:

(xᵃ)ᵇ = xᵃᵇ

(x⁻³)²(x⁻²)³

x⁻⁶ × x⁻⁶

Then use the product rule:

xᵃxᵇ = xᵃ⁺ᵇ

x⁻⁶ × x⁻⁶

x⁻¹²

Use the negative power rule to get rid of the negative exponent:

$\frac{1}{x^1^2}$

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<u>Solution:</u>

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$\begin{array}{l}{\frac{1}{2} \times \text { celias candies count }=\frac{2}{3} \times \text { emmas candies count }} \\\\ {\rightarrow \frac{1}{2} \times n=\frac{2}{3} \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 n=4(105-n)} \\\\ {\quad \rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n+4 n=420} \\\\ {\rightarrow 7 n=7 \times 60} \\\\ {\rightarrow n=60}\end{array}$

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