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Popular >

simplify (-4y^4)^2

Solution

simplify

(- 4 y^{4})^{2}

Solution

16 y^{8}

Solution steps

(- 4 y^{4})^{2}

Apply exponent rule:

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

if

n

is even

(- 4 y^{4})^{2} = (4 y^{4})^{2}

= (4 y^{4})^{2}

Apply exponent rule:

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

(4 y^{4})^{2} = 4^{2} (y^{4})^{2}

= 4^{2} (y^{4})^{2}

4^{2} = 16

= 16 (y^{4})^{2}

Apply exponent rule:

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

assuming

a \geq 0

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

= 16 y^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 16 y^{8}

Popular Examples

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

4 (x^{2} - 6) + 8 = - 4

factor-u^2+7u-12 factor

- u^{2} + 7 u - 12

∣ 5 x - 7 ∣ = ∣ 3 x + 11 ∣

x^{2} + 12 x + 34 = 0

Frequently Asked Questions (FAQ)

What is (-4y^4)^2 ?
The solution to (-4y^4)^2 is 16y^8