What is ((6/3)^5)/((6/3)^9) ?

The solution to ((6/3)^5)/((6/3)^9) is 1/16

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((6/3)^5)/((6/3)^9)

\frac{( \frac{6}{3} ) ^{5}}{( \frac{6}{3} ) ^{9}}

\frac{1}{16}

Solution steps

\frac{( \frac{6}{3} ) ^{5}}{( \frac{6}{3} ) ^{9}}

Solve

(\frac{6}{3})^{5} : 32

\frac{6}{3} = 2

Divide the numbers:

\frac{6}{3} = 2

2

= 2^{5}

Calculate exponents

2^{5} : 32

2^{5}

2^{5} = 32

= 32

= 32

Solve

(\frac{6}{3})^{9} : 512

\frac{6}{3} = 2

Divide the numbers:

\frac{6}{3} = 2

2

= 2^{9}

Follow the PEMDAS order of operations

Calculate exponents

2^{9} : 512

2^{9}

2^{9} = 512

= 512

= 512

= \frac{32}{512}

Cancel the common factor:

32

= \frac{1}{16}

- 6 - (+ 4) - 8 - 2 + 9 + (- 3) - (- 1)

(16 + 8) \div 4

49 \div 360 \times 36

2 (- 4) + 5 (3)

5 + 7 - 2 - 4