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timurjin [86]
3 years ago
9

Which of the following is equal to the fraction below? (7/4)^ 11

Mathematics
2 answers:
olganol [36]3 years ago
5 0

When you multiply an exponent directly into another exponent, you multiply the exponents

(for a fraction, you multiply the exponent to both the numerator and denominator)

For example:

(x^{2})^5=x^{2(5)}=x^{10}

(\frac{x^3}{y^2} )^5=\frac{x^{3(5)}}{y^{2(5)}} =\frac{x^{15}}{y^{10}}



(\frac{7}{4})^{11}=(\frac{7^1}{4^1})^{11}=\frac{7^{11}}{4^{11}}

Your answer is A

borishaifa [10]3 years ago
5 0

Answer:

(\frac{7^{11}}{4^{11}})

Step-by-step explanation:

(\frac{7}{4})^{11}

To simplify this fractional exponent we apply exponential property

(\frac{x}{y})^m=\frac{x^m}{y^m}

As per this property , we multiply the exponent inside the fraction

Multiply the exponent 11 inside the fraction

Multiply the exponent 11 with 7 and then 4

(\frac{7}{4})^{11}

(\frac{7^{11}}{4^{11}})

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