Problem

$\frac{\left(2^{3} \times 2^{4}\right)^{2}}{\left(2^{2} \times 4^{3}\right)}$

Answer

Expert–verified
Hide Steps
Answer

\(\boxed{64}\)

Steps

Step 1 ：\(\frac{\left(2^{3} \times 2^{4}\right)^{2}}{\left(2^{2} \times 4^{3}\right)}\)

Step 2 ：\(= \frac{2^{(3+4) \cdot 2}}{2^{2} \times (2^2)^{3}}\)

Step 3 ：\(= \frac{2^{14}}{2^{2} \times 2^{6}}\)

Step 4 ：\(= \frac{2^{14}}{2^{(2+6)}}\)

Step 5 ：\(= 2^{(14-8)}\)

Step 6 ：\(= 2^{6}\)

Step 7 ：\(\boxed{64}\)

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More