Question

Fill in the blanks in the following statements:

(1) $a\times a\times a\times a\times a\times a=a^{\boxed{}}$
(2) $a^m\times a^n=a^{\boxed{}}$
(3) ${\left(a\times b\right)}^m=a^{\boxed{}}\times b^{\boxed{}}$
(4) ${\left(a^m\right)}^n=a^{\boxed{}}$
(5) $a^m÷a^n=a^{\boxed{}}\left(\mathrm{If}m>n\right)$
(6) $a^0=\boxed{}$
(7) $a^{-m}=\frac{1}{a^{\boxed{}}}$

Answer 1

(1) a × a × a × a × a × a can be written as $a^{\boxed{6}}$
(2) a^m × aⁿ can be written as $a^{\boxed{m+n}}$
(3) (a × b)^m can be written as $a^{\boxed{m}}\times b^{\boxed{m}}$
(4) (a^m)ⁿ can be written as $a^{\boxed{m\times n}}=a^{\boxed{mn}}$
(5) a^m ÷ aⁿ (if m > n) can be written as $a^{\boxed{m-n}}$
(6) a⁰ can be written as 1
(7) a^−m can be written as $\frac{1}{a^{\boxed{m}}}$