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Popular >

simplify (2y^2)^3

Solution

simplify

(2 y^{2})^{3}

Solution

8 y^{6}

Solution steps

(2 y^{2})^{3}

Apply exponent rule:

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

(2 y^{2})^{3} = 2^{3} (y^{2})^{3}

= 2^{3} (y^{2})^{3}

2^{3} = 8

= 8 (y^{2})^{3}

Apply exponent rule:

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

assuming

a \geq 0

(y^{2})^{3} = y^{2 \cdot 3}

= 8 y^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= 8 y^{6}

Popular Examples

3(x+1)=2(x+1)+2x

3 (x + 1) = 2 (x + 1) + 2 x

simplify (-8)(-5/2)simplify

(- 8) (- \frac{5}{2})

x^{2} + 12 x + 23 = 0

-0.3(2x-5)=0.7(3-x)

- 0.3 (2 x - 5) = 0.7 (3 - x)

simplify (9/5)^{-2}simplify

(\frac{9}{5})^{- 2}

Frequently Asked Questions (FAQ)

What is (2y^2)^3 ?
The solution to (2y^2)^3 is 8y^6