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Popular >

simplify (4c^2d^7)^4

Solution

simplify

(4 c^{2} d^{7})^{4}

Solution

256 c^{8} d^{28}

Solution steps

(4 c^{2} d^{7})^{4}

Apply exponent rule:

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

(4 c^{2} d^{7})^{4} = 4^{4} (c^{2})^{4} (d^{7})^{4}

= 4^{4} (c^{2})^{4} (d^{7})^{4}

4^{4} = 256

= 256 (c^{2})^{4} (d^{7})^{4}

Simplify

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

= 256 c^{8} (d^{7})^{4}

Simplify

(d^{7})^{4} : d^{28}

= 256 c^{8} d^{28}

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Frequently Asked Questions (FAQ)

What is (4c^2d^7)^4 ?
The solution to (4c^2d^7)^4 is 256c^8d^{28}