Question

Write in exponential form

1. (4²)⁷=_

2. (-2⁵)²=_

3. [(2/5)^-6]³=_

4. ((-6)⁵)¹⁰=_

5. 5³*5⁷=_

6. 8⁴*8⁴=_

7. 2²*2⁵*2³=_

Answer 1

$$\begin{gathered} \left(1\right). \\ {\left(4^2\right)}^7={\left[{\left(2^2\right)}^2\right]}^7=2^{28} \\ \left(2\right). \\ {\left[{\left(-2\right)}^5\right]}^2={\left[-2\right]}^{10}=2^{10} \\ \left(3\right). \\ {\left[{\left(\frac{2}{5}\right)}^{-6}\right]}^3={\left(\frac{2}{5}\right)}^{-18}={\left(\frac{5}{2}\right)}^{18} \\ \left(4\right). \\ {\left[{\left(-6\right)}^5\right]}^{10}={\left(-6\right)}^{50}=6^{50}=2^{50}\times 3^{50} \\ \left(5\right). \\ {5}^3\times 5^7=5^{10} \\ \left(6\right). \\ {8}^4\times 8^4=8^8={\left[\left(2^3\right)\right]}^8=2^{24} \\ \left(7\right). \\ {2}^2\times 2^5\times 2^3=2^{10} \end{gathered}$$