What is 3^m0.27^m0.9^{-m} ?

The solution to 3^m0.27^m0.9^{-m} is (0.81^m)/(0.9^m)

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simplify 3^m0.27^m0.9^{-m}

simplify

3^{m} 0.2 7^{m} 0. 9^{- m}

\frac{0.8 1 ^{m}}{0. 9 ^{m}}

Solution steps

3^{m} \cdot 0.2 7^{m} \cdot 0. 9^{- m}

Apply exponent rule:

a^{n} b^{n} = (a \cdot b)^{n}

3^{m} \cdot 0.2 7^{m} = (3 \cdot 0.27)^{m}

= (3 \cdot 0.27)^{m} \cdot 0. 9^{- m}

Multiply the numbers:

3 \cdot 0.27 = 0.81

= 0.8 1^{m} \cdot 0. 9^{- m}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

0. 9^{- m} = \frac{1}{0. 9 ^{m}}

= 0.8 1^{m} \cdot \frac{1}{0. 9 ^{m}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{0.8 1 ^{m} \cdot 1}{0. 9 ^{m}}

Apply rule:

a \cdot 1 = a

0.8 1^{m} \cdot 1 = 0.8 1^{m}

= \frac{0.8 1 ^{m}}{0. 9 ^{m}}

\frac{1.4 8 ^{2}}{1.3 5 ^{2}}

- (x^{- 1} y^{- 1}) (x + x y^{3}) d y

8 (1.25)^{- (5)}

10 r^{8} s (5 r^{9} s) (r^{9} s^{9})

e^{- 2.016}

What is 3^m0.27^m0.9^{-m} ?
The solution to 3^m0.27^m0.9^{-m} is (0.81^m)/(0.9^m)