1

Problem

Solve the Expression \$ (4^6)/(4^5) \times (5^6)/(5^4) \$.

2

Step

Given expression

\$ (4^6)/(4^5) \times (5^6)/(5^4) \$

3

Step

Simplify the first fraction:

\$ (4^6) / (4^5)\$

\$ 4^(6 - 5) = 4 \$

4

Step

Simplify the second fraction:

\$ (5^6)/(5^4) \$

\$ 5^(6 - 4) \$

\$5^2 = 25\$

5

Step

Multiply the simplified fractions:

\$ 4 \times 25 \$ = 100

6

Solution

So, the expression simplifies to 100.

7

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

8

Choice-A

This option is incorrect because it does not match the multiplication result

Wrong 20

9

Choice-B

This step is correct because the result of the expression is 100

Correct 100

10

Choice-C

This is incorrect because there is no calculation that leads to 56

Wrong 56

11

Choice-D

This is incorrect because \$4 \times 25\$ is not equal to 125

Wrong 125

12

Step

Option

B

13

Sumup

Please Summarize Choices