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What is 5 to the power of 4 times 5 to the power of 2 written as to the power of 5?
To simplify the expression (5^4)(5^2) as a single power of 5, we can apply the rule of exponents that states when multiplying numbers with the same base, you add the exponents. In this case, 5^4 * 5^2 can be simplified to 5^(4+2) = 5^6. So, (5^4)(5^2) written as a single power of 5 is 5 to the power of 6.
What is 2 to the 4th power times 5 to the 3rd power?
2 to the 4th power times 5 to the 3rd power = 2,000
What is 5 to the 6th power times 5 to the -2 power?
As the number being raised to the powers is the same, the powers can be added together and the answer is the number raised to this power: 56 x 5-2 = 56 + -2 = 54 = 625
Which is correct 2 times 2 times 2 times 5 or 2 power to the 3 times 5?
Both are correct.
What is 5 to the power of 3 times 5 to the power of 2 but written as a power of 5?
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.
