Evaluate (49^(3/8)*49^(7/8))÷(7^(5/4))

Math
4938⋅4978÷754
Rewrite the division as a fraction.
4938⋅4978754
Multiply 4938 by 4978 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
4938+78754
Combine the numerators over the common denominator.
493+78754
Add 3 and 7.
49108754
Cancel the common factor of 10 and 8.
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Factor 2 out of 10.
492(5)8754
Cancel the common factors.
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Factor 2 out of 8.
492⋅52⋅4754
Cancel the common factor.
492⋅52⋅4754
Rewrite the expression.
4954754
4954754
4954754
4954754
Use the power of quotient rule ambm=(ab)m.
(497)54
Divide 49 by 7.
754
The result can be shown in multiple forms.
Exact Form:
754
Decimal Form:
11.38603593…
Evaluate (49^(3/8)*49^(7/8))÷(7^(5/4))

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