Exponents - whole number bases (2) | Worsheets library - Free Printable

The task involves solving exponents with whole number bases. Each problem requires calculating the result of a base raised to a given power. Let's solve each problem step by step.

Problem 1: \( 71^3 \)

To calculate \( 71^3 \):
\[
71^3 = 71 \times 71 \times 71
\]
First, calculate \( 71 \times 71 \):
\[
71 \times 71 = 5041
\]
Next, multiply the result by 71:
\[
5041 \times 71 = 358131
\]
So, \( 71^3 = 358131 \).

Problem 2: \( 52^4 \)

To calculate \( 52^4 \):
\[
52^4 = 52 \times 52 \times 52 \times 52
\]
First, calculate \( 52 \times 52 \):
\[
52 \times 52 = 2704
\]
Next, calculate \( 2704 \times 52 \):
\[
2704 \times 52 = 140608
\]
Finally, calculate \( 140608 \times 52 \):
\[
140608 \times 52 = 7310736
\]
So, \( 52^4 = 7310736 \).

Problem 3: \( 99^3 \)

To calculate \( 99^3 \):
\[
99^3 = 99 \times 99 \times 99
\]
First, calculate \( 99 \times 99 \):
\[
99 \times 99 = 9801
\]
Next, multiply the result by 99:
\[
9801 \times 99 = 970299
\]
So, \( 99^3 = 970299 \).

Problem 4: \( 78^4 \)

To calculate \( 78^4 \):
\[
78^4 = 78 \times 78 \times 78 \times 78
\]
First, calculate \( 78 \times 78 \):
\[
78 \times 78 = 6084
\]
Next, calculate \( 6084 \times 78 \):
\[
6084 \times 78 = 474192
\]
Finally, calculate \( 474192 \times 78 \):
\[
474192 \times 78 = 36926136
\]
So, \( 78^4 = 36926136 \).

Problem 5: \( 8^7 \)

To calculate \( 8^7 \):
\[
8^7 = 8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 8
\]
First, calculate \( 8^2 \):
\[
8^2 = 64
\]
Next, calculate \( 8^4 \):
\[
8^4 = 64 \times 64 = 4096
\]
Finally, calculate \( 8^7 \):
\[
8^7 = 8^4 \times 8^2 \times 8 = 4096 \times 64 \times 8
\]
Calculate \( 4096 \times 64 \):
\[
4096 \times 64 = 262144
\]
Then, calculate \( 262144 \times 8 \):
\[
262144 \times 8 = 2097152
\]
So, \( 8^7 = 2097152 \).

Problem 6: \( 80^5 \)

To calculate \( 80^5 \):
\[
80^5 = 80 \times 80 \times 80 \times 80 \times 80
\]
First, calculate \( 80^2 \):
\[
80^2 = 6400
\]
Next, calculate \( 80^4 \):
\[
80^4 = 6400 \times 6400 = 40960000
\]
Finally, calculate \( 80^5 \):
\[
80^5 = 80^4 \times 80 = 40960000 \times 80 = 3276800000
\]
So, \( 80^5 = 3276800000 \).

Problem 7: \( 98^4 \)

To calculate \( 98^4 \):
\[
98^4 = 98 \times 98 \times 98 \times 98
\]
First, calculate \( 98 \times 98 \):
\[
98 \times 98 = 9604
\]
Next, calculate \( 9604 \times 98 \):
\[
9604 \times 98 = 941192
\]
Finally, calculate \( 941192 \times 98 \):
\[
941192 \times 98 = 92236816
\]
So, \( 98^4 = 92236816 \).

Problem 8: \( 15^4 \)

To calculate \( 15^4 \):
\[
15^4 = 15 \times 15 \times 15 \times 15
\]
First, calculate \( 15^2 \):
\[
15^2 = 225
\]
Next, calculate \( 15^4 \):
\[
15^4 = 225 \times 225 = 50625
\]
So, \( 15^4 = 50625 \).

Problem 9: \( 7^3 \)

To calculate \( 7^3 \):
\[
7^3 = 7 \times 7 \times 7
\]
First, calculate \( 7 \times 7 \):
\[
7 \times 7 = 49
\]
Next, multiply the result by 7:
\[
49 \times 7 = 343
\]
So, \( 7^3 = 343 \).

Problem 10: \( 55^4 \)

To calculate \( 55^4 \):
\[
55^4 = 55 \times 55 \times 55 \times 55
\]
First, calculate \( 55 \times 55 \):
\[
55 \times 55 = 3025
\]
Next, calculate \( 3025 \times 55 \):
\[
3025 \times 55 = 166375
\]
Finally, calculate \( 166375 \times 55 \):
\[
166375 \times 55 = 9150625
\]
So, \( 55^4 = 9150625 \).

Problem 11: \( 67^1 \)

To calculate \( 67^1 \):
\[
67^1 = 67
\]
So, \( 67^1 = 67 \).

Problem 12: \( 50^4 \)

To calculate \( 50^4 \):
\[
50^4 = 50 \times 50 \times 50 \times 50
\]
First, calculate \( 50^2 \):
\[
50^2 = 2500
\]
Next, calculate \( 50^4 \):
\[
50^4 = 2500 \times 2500 = 6250000
\]
So, \( 50^4 = 6250000 \).

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 358131 \\
2. & 7310736 \\
3. & 970299 \\
4. & 36926136 \\
5. & 2097152 \\
6. & 3276800000 \\
7. & 92236816 \\
8. & 50625 \\
9. & 343 \\
10. & 9150625 \\
11. & 67 \\
12. & 6250000 \\
\end{array}
}
\]