Extend the pattern another 3 times (up the power of 5). Expand the exponential notation and use your…

Question

Extend the pattern another 3 times (up the power of 5). Expand the exponential notation and use your calculator to calculate the answer.

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the problems.

1. Extend the pattern another 3 times (up the power of 5).

a)

20 \times 20 \times 20 = 20^3

20 \times 20 \times 20 \times 20 = 20^4

20 \times 20 \times 20 \times 20 \times 20 = 20^5

b)

10 \times 10 \times 10 = 10^3

10 \times 10 \times 10 \times 10 = 10^4

10 \times 10 \times 10 \times 10 \times 10 = 10^5

c)

17 \times 17 \times 17 = 17^3

17 \times 17 \times 17 \times 17 = 17^4

17 \times 17 \times 17 \times 17 \times 17 = 17^5

d)

38 \times 38 \times 38 = 38^3

38 \times 38 \times 38 \times 38 = 38^4

38 \times 38 \times 38 \times 38 \times 38 = 38^5

e)

59 \times 59 \times 59 = 59^3

59 \times 59 \times 59 \times 59 = 59^4

59 \times 59 \times 59 \times 59 \times 59 = 59^5

f)

15 \times 15 \times 15 = 15^3

15 \times 15 \times 15 \times 15 = 15^4

15 \times 15 \times 15 \times 15 \times 15 = 15^5

2. Expand the exponential notation and use your calculator to calculate the answer.

a)

Expand the exponential notation.
$22^3 = 22 \times 22 \times 22$
Calculate the product.
$22 \times 22 \times 22 = 10648$
The answer is $\boxed{10648}$ .

b)
Expand the exponential notation.
$81^2 = 81 \times 81$
Calculate the product.
$81 \times 81 = 6561$
The answer is $\boxed{6561}$ .

c)
Expand the exponential notation.
$74^4 = 74 \times 74 \times 74 \times 74$
Calculate the product.
$74 \times 74 \times 74 \times 74 = 29986576$
The answer is $\boxed{29986576}$ .

d)
Expand the exponential notation.
$39^1 = 39$
Calculate the product.
$39 = 39$
The answer is $\boxed{39}$ .

e)
Expand the exponential notation.
$97^2 = 97 \times 97$
Calculate the product.
$97 \times 97 = 9409$
The answer is $\boxed{9409}$ .

f)
Expand the exponential notation.
$32^5 = 32 \times 32 \times 32 \times 32 \times 32$
Calculate the product.
$32 \times 32 \times 32 \times 32 \times 32 = 33554432$
The answer is $\boxed{33554432}$ .

Extend the pattern another 3 times (up the power of 5). Expand the exponential notation and use your calculator to calculate the answer.