What is \sqrt[3]{((7^4)^6)/(7^8)} ?

The solution to \sqrt[3]{((7^4)^6)/(7^8)} is 16807\sqrt[3]{7}

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simplify \sqrt[3]{((7^4)^6)/(7^8)}

simplify

Decimal Notation

32150.63438 \dots

Solution steps

Cancel

\frac{( 7 ^{4} ) ^{6}}{7 ^{8}} : 7^{16}

Apply exponent rule:

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

7^{15 + 1} = 7^{15} \cdot 7

Apply radical rule:

24 \times 5

10. 5^{2}

5 (x - 4)

(a + b)^{2} - 100

2.2

What is \sqrt[3]{((7^4)^6)/(7^8)} ?
The solution to \sqrt[3]{((7^4)^6)/(7^8)} is 16807\sqrt[3]{7}