simplify a^n*a^n

Solution

simplify

a^{n} \cdot a^{n}

a^{2 n}

Solution steps

a^{n} a^{n}

Apply exponent rule:

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

a^{n} a^{n} = (aa)^{n}

= (aa)^{n}

Apply exponent rule:

aa = a^{2}

aa = a^{2}

= (a^{2})^{n}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= a^{2 n}

3^{3} 3^{\frac{1}{2}} 3^{\frac{2}{3}}

\frac{4}{5} x - 5 - \frac{1}{3} x + 4

x^{2} + x^{2} y^{2}

4 x^{3} + 12 x^{2} - x - 15

\frac{3 ( 2 )}{2}