What is ((-3)^2)/((-3)^4) ?

The solution to ((-3)^2)/((-3)^4) is 1/9

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((-3)^2)/((-3)^4)

\frac{( - 3 ) ^{2}}{( - 3 ) ^{4}}

\frac{1}{9}

Solution steps

\frac{( - 3 ) ^{2}}{( - 3 ) ^{4}}

Solve

(- 3)^{2} : 9

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

Solve

(- 3)^{4} : 81

Follow the PEMDAS order of operations

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 3)^{4} = 3^{4} = 81

= 81

= \frac{9}{81}

Cancel the common factor:

9

= \frac{1}{9}

6 + {4 - [(17 - (4 \cdot 4))] + 3} - 5

1 - 6 + 9

- 8^{2} + 5^{2}

4 (2)^{3} - 64 (2)

- (- 1)^{2} + 6