Question

Evaluate

(i) 6^7*6^-4​

Answer 1

Answer

$\Rightarrow6^{3}$

Explanation

$\Rightarrow 6^{7}\times6^{-4}$

$\Rightarrow6^{7+(-4)$

$\Rightarrow6^{3}$

Laws of exponent

$1)\ a^{m}\times a^{n}= a^{m+n}$

$2)\ a^{m}\div a^{n}=a^{m-n}$

$3)(a^{m})^{n}=a^{mn}$

$4)a^{m}\times b^{m}=ab^{m}$

$5)\ a^{-m}=\dfrac{1}{m^{a}}$

$6)\ a^{0}=1$

Answer 2

Answer:

1. 6^7 × 6^-4

= 6^7 × 1/6^4

=6×6×6×6×6×6×6 × 1/6×6×6×6

then the power 4 of six canncled by the another term.

= 6×6×6 × 1

= 6³

= 216 Answer