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Popular >

simplify (0.4h^5)^3

Solution

simplify

(0.4 h^{5})^{3}

Solution

0.064 h^{15}

Solution steps

(0.4 h^{5})^{3}

Apply exponent rule:

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

(0.4 h^{5})^{3} = 0. 4^{3} (h^{5})^{3}

= 0. 4^{3} (h^{5})^{3}

0. 4^{3} = 0.064

= 0.064 (h^{5})^{3}

Apply exponent rule:

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

assuming

a \geq 0

(h^{5})^{3} = h^{5 \cdot 3}

= 0.064 h^{5 \cdot 3}

Multiply the numbers:

5 \cdot 3 = 15

= 0.064 h^{15}

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Frequently Asked Questions (FAQ)

What is (0.4h^5)^3 ?
The solution to (0.4h^5)^3 is 0.064h^{15}