Question

3. Express the following in standard form:

(a) 70,30,000 (b) 750000000000 (c) 8765.43

4. Convert into power notation:

(a) -1/343 (b) -1/81 (c) 512/1331

5. The age of the Earth is 4,600,000,000 years. Write the number in standard form.

Answer 1

$$\begin{gathered} \left(3\right). \\ \left(\mathrm{a}\right).7030000=7.03\times {10}^6 \\ \left(\mathrm{b}\right).750000000000=7.5\times {10}^{11} \\ \left(\mathrm{c}\right).8765.43=8.76543\times {10}^3 \\ \left(4\right) \\ \left(\mathrm{a}\right).-\frac{1}{343}={\left(-\frac{1}{7}\right)}^3 \\ \left(\mathrm{b}\right).-\frac{1}{81}=-\frac{1}{3^4} \\ \left(\mathrm{c}\right).\frac{512}{1331}={\left(\frac{8}{11}\right)}^3 \\ \left(5\right). \\ \mathrm{age}\mathrm{of}\mathrm{Earth}=4600000000\mathrm{yrs}=4.6\times {10}^9\mathrm{yrs} \end{gathered}$$