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Popular >

simplify (2y^2)^2

Solution

simplify

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

Solution

4 y^{4}

Solution steps

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

Apply exponent rule:

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

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

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

2^{2} = 4

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

Apply exponent rule:

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

assuming

a \geq 0

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

= 4 y^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= 4 y^{4}

Popular Examples

log_{1/3}(5x-3)<2

lo g_{\frac{1}{3}} (5 x - 3) < 2

2 x^{2} + 14 = - 7 x

simplify (sqrt(-54))/(sqrt(-2))simplify

\frac{- 54}{- 2}

sqrt(x^2-2x-15)>2x+5

x^{2} - 2 x - 15 > 2 x + 5

simplify 4(1-6n)+6 simplify

4 (1 - 6 n) + 6

Frequently Asked Questions (FAQ)

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