simplify 3^x(6^x)

Solution

simplify

3^{x} (6^{x})

1 8^{x}

Solution steps

3^{x} (6^{x})

Apply rule:

(a) = a

(6^{x}) = 6^{x}

= 3^{x} \cdot 6^{x}

Apply exponent rule:

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

3^{x} \cdot 6^{x} = (3 \cdot 6)^{x}

= (3 \cdot 6)^{x}

Multiply the numbers:

3 \cdot 6 = 18

= 1 8^{x}

x^{\frac{1}{2}} (x^{3})

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

(\frac{1}{2 ^{x}} + \frac{1}{2 ^{x}} + \frac{1}{2 ^{x}} + \frac{1}{2 ^{x}})^{2}

\frac{1}{2 ( m - \frac{m ^{2}}{m} + m ) v ^{2}}

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