What is ((-4h^9)^2)/(24h^4) ?

The solution to ((-4h^9)^2)/(24h^4) is (2h^{14})/3

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simplify ((-4h^9)^2)/(24h^4)

simplify

\frac{( - 4 h ^{9} ) ^{2}}{24 h ^{4}}

\frac{2 h ^{14}}{3}

Solution steps

\frac{( - 4 h ^{9} ) ^{2}}{24 h ^{4}}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 4 h^{9})^{2} = (4 h^{9})^{2}

= \frac{( 4 h ^{9} ) ^{2}}{24 h ^{4}}

Simplify

(4 h^{9})^{2} : 4^{2} h^{18}

= \frac{4 ^{2} h ^{18}}{24 h ^{4}}

Factor the number:

24 = 4 \cdot 6

= \frac{4 ^{2} h ^{18}}{4 \cdot 6 h ^{4}}

\frac{4 ^{2}}{4} = 4

= \frac{4 h ^{18}}{6 h ^{4}}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2 h ^{18}}{6 h ^{4}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 2 h ^{18}}{2 \cdot 3 h ^{4}}

Cancel the common factor:

2

= \frac{2 h ^{18}}{3 h ^{4}}

Simplify

\frac{h ^{18}}{h ^{4}} : h^{14}

= \frac{2 h ^{14}}{3}

\frac{x ^{2}}{2 x - 12} - \frac{18}{x - 6}

5 (2 + 35)

115 (1.025)^{100}

- x^{4} + 2 x^{3} - 13 x^{2} + 32 x + 48

- \frac{5}{2} - \frac{3}{2}

What is ((-4h^9)^2)/(24h^4) ?
The solution to ((-4h^9)^2)/(24h^4) is (2h^{14})/3