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Popular >

simplify (4x^2y^5)^4

Solution

simplify

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

Solution

256 x^{8} y^{20}

Solution steps

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

Apply exponent rule:

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

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

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

4^{4} = 256

= 256 (x^{2})^{4} (y^{5})^{4}

Simplify

(x^{2})^{4} : x^{8}

= 256 x^{8} (y^{5})^{4}

Simplify

(y^{5})^{4} : y^{20}

= 256 x^{8} y^{20}

Popular Examples

(3t-6)^2-15(3t-6)+54=0

(3 t - 6)^{2} - 15 (3 t - 6) + 54 = 0

6^{2} + 8^{2} = x^{2}

- 2 x - 7 \geq - 3

factor x^2-12x+36 factor

x^{2} - 12 x + 36

x^2*18*10^{-6}-x*0.024*0.1-1/(50*10^{-12)}=0

x^{2} \cdot 18 \cdot 1 0^{- 6} - x \cdot 0.024 \cdot 0.1 - \frac{1}{50 \cdot 1 0 ^{- 12}} = 0

Frequently Asked Questions (FAQ)

What is (4x^2y^5)^4 ?
The solution to (4x^2y^5)^4 is 256x^8y^{20}