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Popular >

simplify (sqrt(16^4))^3

Solution

simplify

(1 6^{4})^{3}

Solution

16777216

Solution steps

(1 6^{4})^{3}

Apply exponent rule:

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

(1 6^{4})^{2 + 1} = (1 6^{4})^{2} 1 6^{4}

= (1 6^{4})^{2} 1 6^{4}

Apply exponent rule:

(1 6^{4})^{2} = 1 6^{4}

= 1 6^{4} 1 6^{4}

1 6^{4} = 256

= 1 6^{4} \cdot 256

1 6^{4} = 65536

= 65536 \cdot 256

Multiply the numbers:

65536 \cdot 256 = 16777216

= 16777216

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Frequently Asked Questions (FAQ)

What is (sqrt(16^4))^3 ?
The solution to (sqrt(16^4))^3 is 16777216