Solve (8d)^2(8d)^2(8d)^3(8d)^-5=

$$( 8 d ) ^ { 2 } ( 8 d ) ^ { 2 } ( 8 d ) ^ { 3 } ( 8 d ) ^ { - 5 } =$$

Evaluate

$$64d^{2}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\left(8d\right)^{4}\times \left(8d\right)^{3}\times \left(8d\right)^{-5}$$

To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.

$$\left(8d\right)^{7}\times \left(8d\right)^{-5}$$

To multiply powers of the same base, add their exponents. Add 7 and -5 to get 2.

$$\left(8d\right)^{2}$$

Expand \left(8d\right)^{2}.

$$8^{2}d^{2}$$

Calculate 8 to the power of 2 and get 64.

$$64d^{2}$$

Expand

$$64d^{2}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\left(8d\right)^{4}\times \left(8d\right)^{3}\times \left(8d\right)^{-5}$$

To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.

$$\left(8d\right)^{7}\times \left(8d\right)^{-5}$$

To multiply powers of the same base, add their exponents. Add 7 and -5 to get 2.

$$\left(8d\right)^{2}$$

Expand \left(8d\right)^{2}.

$$8^{2}d^{2}$$

Calculate 8 to the power of 2 and get 64.

$$64d^{2}$$