State the base for the expression 9^{5}.
State the power for the expression 2^{7}.
Write the following powers of 9 in index form:
9 \times 9
9 \times 9 \times 9
9 \times 9 \times 9 \times 9
9 \times 9 \times 9 \times 9 \times 9
Write the following expressions using index notation:
5 \times 5 \times 5
4 \times 4 \times 4 \times 4 \times 4
(-9) \times (-9) \times (-9) \times (-9)
7 \times 7
12 \times 12 \times 9 \times 9 \times 9
(-13) \times (-13) \times (-13) \times (-13) \times 5 \times 5
11 \times 7 \times 11 \times 7 \times 7
3 \times (-4) \times 3 \times 3 \times (-4)
(-6) \times (-2) \times (-6) \times (-6) \times (-2)
12 \times 12 \times 12 \times 15 \times 15
2 \times 4 \times 2 \times 4
24 \times 24 \times 24 \times 12
Write the following statements using index notation:
Two squared
Three cubed
Evaluate the following:
Write the following expressions in expanded form:
9^{2}
9^{3}
9^{4}
9^{5}
Explain how the power in index notation, e.g. the 5 in 2^5, helps you write the expanded notation.
Complete the table below:
| Words | Expanded notation | Index notation |
|---|---|---|
| Six to the power of four | ||
| Eight cubed | ||
| Eleven to the power of three | ||
| Twenty three to the power of five | ||
| Seven squared | ||
| Fifteen to the power of four |
Write the following numbers in expanded form:
7^{5} \times 6^{4}
4^{6} \times 9^{2}
77^{5} \times 13^{2}
Consider the expression 5^{3}.
Write the expression in expanded form.
Using your answer to part (a), find the value of 5^{3}.