Q: What is 5 to the 6th power times 5 to the -2 power?

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It is: 26*56 = 1,000,000 or one million

There are seven digits: 8,000,000

2 to the 4th power times 5 to the 3rd power = 2,000

5 x 106 = 5,000,000

5 to the power of 4 is 625. 5 to the power of 2 is 25. 625 times 25 is 5,624. I don't feel like doing 5,624 times 5,624.

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It is: 26*56 = 1,000,000 or one million

There are seven digits: 8,000,000

5 to the power of 2

2 to the 4th power times 5 to the 3rd power = 2,000

5 x 106 = 5,000,000

5 to the power of 4 is 625. 5 to the power of 2 is 25. 625 times 25 is 5,624. I don't feel like doing 5,624 times 5,624.

Both are correct.

-30xcubed times y to the power of 5

-30xcubed times y to the power of 5

No

5 to the power of three times 5 to the power of 2 is equal to 5 to the power of 5. We know this because A^a times A^b equals A^(a+b). We know this by solving the problem manually. 5 to the power of 3 is equal to 5*5*5 and 5 to the power of 2 is equal to 5*5. when you multiply them, it becomes 5*5*5*5*5 which is equal to 5 to the power of 5.

It is correct only for the first one. The second one should be 3 to the power 2 times 2 times 5.