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svp [43]
3 years ago
10

Find the value of m. (-3/4)-⁴×(-3/4)-¹¹ = (-3/4)^m​

Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer:

m = - 15

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} = a^{(m+n)} , then

(-\frac{3}{4}) ^{-4} × (-\frac{3}{4}) ^{-11} = (-\frac{3}{4}) ^{m} , that is

(-\frac{3}{4}) ^{(-4-11)} = (-\frac{3}{4}) ^{m}

(-\frac{3}{4}) ^{-15} = (-\frac{3}{4}) ^{m}

Equating exponents gives

m = - 15

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