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Popular >

simplify (5x^4)^2

Solution

simplify

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

Solution

25 x^{8}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 x^{4})^{2} = 5^{2} (x^{4})^{2}

= 5^{2} (x^{4})^{2}

5^{2} = 25

= 25 (x^{4})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{4})^{2} = x^{4 \cdot 2}

= 25 x^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 25 x^{8}

Popular Examples

expand a^{1/2}(a^{3/2}-2a^{1/2})expand

a^{\frac{1}{2}} (a^{\frac{3}{2}} - 2 a^{\frac{1}{2}})

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

\frac{x}{3} - \frac{x - 1}{2} \geq 1

x^{2} - 25 = - 4 x - 4

14 x^{2} + 14 x = 3

simplify 4/5-2/7 simplify

\frac{4}{5} - \frac{2}{7}

Frequently Asked Questions (FAQ)

What is (5x^4)^2 ?
The solution to (5x^4)^2 is 25x^8