pavitrasuraj17
Answered

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

Sagot :

Answer:

m = - 15

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

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

[tex](-\frac{3}{4}) ^{(-4-11)}[/tex] = [tex](-\frac{3}{4}) ^{m}[/tex]

[tex](-\frac{3}{4}) ^{-15}[/tex] = [tex](-\frac{3}{4}) ^{m}[/tex]

Equating exponents gives

m = - 15

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