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

The solution to ((-3x)^2)/(-3x^2) is -3

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simplify ((-3x)^2)/(-3x^2)

simplify

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

- 3

Solution steps

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

Apply exponent rule:

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

n

is even

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

= \frac{( 3 x ) ^{2}}{- 3 x ^{2}}

Apply exponent rule:

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

(3 x)^{2} = 3^{2} x^{2}

= \frac{3 ^{2} x ^{2}}{- 3 x ^{2}}

\frac{3 ^{2}}{3} = 3

= \frac{3 x ^{2}}{- x ^{2}}

Cancel the common factor:

x^{2}

= \frac{3}{- 1}

Apply the fraction rule:

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

= - 3

(5 + h)^{3}

\frac{42}{24}

\frac{- 1}{- 7}

13 (1.4 + 2 w)

3 x + 1 + 10 x + 1