Solve (6^3)^3=(6*6*6)^3

$$( 6 ^ { 3 } ) ^ { 3 } = ( 6 \cdot 6 \cdot 6 ) ^ { 3 }$$

Verify

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 3 to get 9.

$$6^{9}=\left(6\times 6\times 6\right)^{3}$$

Calculate 6 to the power of 9 and get 10077696.

$$10077696=\left(6\times 6\times 6\right)^{3}$$

Multiply 6 and 6 to get 36.

$$10077696=\left(36\times 6\right)^{3}$$

Multiply 36 and 6 to get 216.

$$10077696=216^{3}$$

Calculate 216 to the power of 3 and get 10077696.

$$10077696=10077696$$

Compare 10077696 and 10077696.

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