What is 4sqrt(x^{128)x^5y}^7 ?

The solution to 4sqrt(x^{128)x^5y}^7 is 4x^{465}y^3sqrt(x)sqrt(y)

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simplify 4sqrt(x^{128)x^5y}^7

simplify

4 x^{128} x^{5} y^{7}

4 x^{465} y^{3} x y

Solution steps

4 (x^{128} x^{5} y)^{7}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x^{128} x^{5} y)^{6 + 1} = (x^{128} x^{5} y)^{6} x^{128} x^{5} y

= 4 (x^{128} x^{5} y)^{6} x^{128} x^{5} y

Simplify

(x^{128} x^{5} y)^{6} : ((x^{128} x^{5} y)^{2})^{3}

= 4 ((x^{128} x^{5} y)^{2})^{3} x^{128} x^{5} y

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(x^{128} x^{5} y)^{2} = x^{128} x^{5} y

= 4 (x^{128} x^{5} y)^{3} x^{128} x^{5} y

Simplify

x^{128} x^{5} y : x^{66} x y

= 4 (x^{128} x^{5} y)^{3} x^{66} x y

Simplify

x^{128} x^{5} : x^{133}

= 4 (x^{133} y)^{3} x^{66} x y

Simplify

(x^{133} y)^{3} : x^{399} y^{3}

= 4 x^{399} y^{3} x^{66} x y

Simplify

x^{399} x^{66} : x^{465}

= 4 x^{465} y^{3} x y

e^{- 2 l n (s i n (y))}

e^{2} (e - 1)^{2}

(5.5 \cdot 1 0^{8}) (2.1 \cdot 1 0^{- 15})

(e^{5 t})^{2}

2596563.38707 (1 + (\frac{0.249417}{12}))^{- 12}

What is 4sqrt(x^{128)x^5y}^7 ?
The solution to 4sqrt(x^{128)x^5y}^7 is 4x^{465}y^3sqrt(x)sqrt(y)