What is ((6x^3)^2)/((2x^2)^3)*(3x^2)^0 ?

The solution to ((6x^3)^2)/((2x^2)^3)*(3x^2)^0 is 9/2

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simplify ((6x^3)^2)/((2x^2)^3)*(3x^2)^0

simplify

\frac{( 6 x ^{3} ) ^{2}}{( 2 x ^{2} ) ^{3}} \cdot (3 x^{2})^{0}

\frac{9}{2}

Decimal Notation

4.5

Solution steps

\frac{( 6 x ^{3} ) ^{2}}{( 2 x ^{2} ) ^{3}} (3 x^{2})^{0}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

(3 x^{2})^{0} = 1

= \frac{( 6 x ^{3} ) ^{2}}{( 2 x ^{2} ) ^{3}} \cdot 1

Apply rule:

a \cdot 1 = a

= \frac{( 6 x ^{3} ) ^{2}}{( 2 x ^{2} ) ^{3}}

Simplify

(6 x^{3})^{2} : 36 x^{6}

= \frac{36 x ^{6}}{( 2 x ^{2} ) ^{3}}

Simplify

(2 x^{2})^{3} : 8 x^{6}

= \frac{36 x ^{6}}{8 x ^{6}}

Cancel the common factor:

x^{6}

= \frac{36}{8}

Factor the number:

36 = 4 \cdot 9

= \frac{4 \cdot 9}{8}

Factor the number:

8 = 4 \cdot 2

= \frac{4 \cdot 9}{4 \cdot 2}

Cancel the common factor:

4

= \frac{9}{2}

\frac{15 21 - 5 42}{5 7}

i^{- 20}

(20)^{\frac{5}{2}}

20 (a + 1) - 21 (a - 1)

(2 x + 2 y) - (x - 2 2 y)

What is ((6x^3)^2)/((2x^2)^3)*(3x^2)^0 ?
The solution to ((6x^3)^2)/((2x^2)^3)*(3x^2)^0 is 9/2