Question

Simplify. Please show your work.

(2^x * 2)^3

Answer 1

64^x

2 * 2 = 4

Now we have 4^x

Now we have to cube 4

4 * 4 * 4 = 64

The final simplified (not solved) answer is 64^x

Answer 2

Use the power rule A^ma^n=a^m+n to combine exponent. (2^x+1)^3= now use the power rule multiply . (2^x+1)^×3= apply the distributive property 2^x×3+ ^1×3 = move 3 to left and multiply 3×1 of expression to be = 2^3×x+3. Now multiply 3×x to get 2^3x+3