# Evaluate ((2.5*10^4)*10^(1.5(6)))/((2.5*10^4)*10^(1.5(2)))

(2.5⋅104)⋅101.5(6)(2.5⋅104)⋅101.5(2)
Multiply 104 by 101.5(6) by adding the exponents.
Move 101.5(6).
2.5⋅(101.5(6)⋅104)(2.5⋅104)⋅101.5(2)
Use the power rule aman=am+n to combine exponents.
2.5⋅101.5(6)+4(2.5⋅104)⋅101.5(2)
Multiply 1.5 by 6.
2.5⋅109+4(2.5⋅104)⋅101.5(2)
2.5⋅1013(2.5⋅104)⋅101.5(2)
2.5⋅1013(2.5⋅104)⋅101.5(2)
Multiply 104 by 101.5(2) by adding the exponents.
Move 101.5(2).
2.5⋅10132.5⋅(101.5(2)⋅104)
Use the power rule aman=am+n to combine exponents.
2.5⋅10132.5⋅101.5(2)+4
Multiply 1.5 by 2.
2.5⋅10132.5⋅103+4
2.5⋅10132.5⋅107
2.5⋅10132.5⋅107
Divide using scientific notation.
Group coefficients together and exponents together to divide numbers in scientific notation.
(2.52.5)(1013107)
Divide 2.5 by 2.5.
11013107
Subtract the exponent from the denominator from the exponent of the numerator for the same base
1⋅1013+7⋅-1
Multiply 7 by -1.
1⋅1013-7
Subtract 7 from 13.
1⋅106
1⋅106
Multiply 106 by 1.
106
Raise 10 to the power of 6.
1000000
Evaluate ((2.5*10^4)*10^(1.5(6)))/((2.5*10^4)*10^(1.5(2)))

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