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Popular >

simplify (x)^2(x^5)^4(x^2)^3

Solution

simplify

(x)^{2} (x^{5})^{4} (x^{2})^{3}

Solution

x^{28}

Solution steps

x^{2} (x^{5})^{4} (x^{2})^{3}

Simplify

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

= x^{2} x^{20} (x^{2})^{3}

Simplify

(x^{2})^{3} : x^{6}

= x^{2} x^{20} x^{6}

Apply exponent rule:

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

x^{2} x^{20} x^{6} = x^{2 + 20 + 6}

= x^{2 + 20 + 6}

Add the numbers:

2 + 20 + 6 = 28

= x^{28}

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Frequently Asked Questions (FAQ)

What is (x)^2(x^5)^4(x^2)^3 ?
The solution to (x)^2(x^5)^4(x^2)^3 is x^{28}