What is (3x^{-4})^2(5x^{-2}) ?

The solution to (3x^{-4})^2(5x^{-2}) is (45)/(x^{10)}

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simplify (3x^{-4})^2(5x^{-2})

simplify

(3 x^{- 4})^{2} (5 x^{- 2})

\frac{45}{x ^{10}}

Solution steps

(3 x^{- 4})^{2} (5 x^{- 2})

Simplify

(3 x^{- 4})^{2} : \frac{9}{x ^{8}}

= \frac{9}{x ^{8}} \cdot 5 x^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

x^{- 2} = \frac{1}{x ^{2}}

= \frac{9}{x ^{8}} \cdot 5 \cdot \frac{1}{x ^{2}}

Apply the fraction rule:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{9 \cdot 5 \cdot 1}{x ^{8} x ^{2}}

Multiply the numbers:

9 \cdot 5 \cdot 1 = 45

= \frac{45}{x ^{8} x ^{2}}

Simplify

x^{8} x^{2} : x^{10}

= \frac{45}{x ^{10}}

\frac{3 m ^{5} n ^{3} p ^{4}}{5 m ^{6} n ^{4} p ^{2} q ^{5}}

\frac{4}{5} (x - 10) = 20

1 + x = 16

∣ 4 y - 7 ∣ \geq 14

5 x^{4} - 20 x^{3} + 20 x^{2}

What is (3x^{-4})^2(5x^{-2}) ?
The solution to (3x^{-4})^2(5x^{-2}) is (45)/(x^{10)}