Question

basic

1) write each of the following in power notation.

a) (3/4) multiply (3/4) multiply (3/4) multiply (3/4) multiply (3/4).

b) (-13) x (-13) x (-13) x (-13) x (-13) x (-13) x (-13)

2) find the value of the folllowing.

a) (-2) power of 5

b) (5/8) power of 3

c) (-4) power of 4 multiply (-10) power of 3

Answer 1

$$\begin{gathered} \left(1\right). \\ \left(\mathrm{a}\right).\frac{3}{4}\times \frac{3}{4}\times \frac{3}{4}\times \frac{3}{4}\times \frac{3}{4}={\left(\frac{3}{4}\right)}^5 \\ \left(\mathrm{b}\right). \\ \left(-13\right)\times \left(-13\right)\times \left(-13\right)\times \left(-13\right)\times \left(-13\right)\times \left(-13\right)\times \left(-13\right)={\left(-13\right)}^7 \\ \left(2\right). \\ \left(\mathrm{a}\right).{\left(-2\right)}^5=\left(-2\right)\times \left(-2\right)\times \left(-2\right)\times \left(-2\right)\times \left(-2\right)=-32 \\ \left(\mathrm{b}\right).{\left(\frac{5}{8}\right)}^3=\frac{5}{8}\times \frac{5}{8}\times \frac{5}{8}=\frac{125}{512} \\ \left(\mathrm{c}\right).{\left(-4\right)}^4\times {\left(-10\right)}^3=\left[\left(-4\right)\times \left(-4\right)\times \left(-4\right)\times \left(-4\right)\right]\times \left[\left(-10\right)\times \left(-10\right)\times \left(-10\right)\right]=256\times \left(-1000\right)=-256000 \end{gathered}$$