3 years ago

How do we do thisss 3^-2 × 3^x = 81

Mathematics

2 answers:

Anna11 [10]3 years ago

8 0

Answer:

3^2=3x3=9

=9x9

x=2

Komok [63]3 years ago

8 0

Answer:

x = 6

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$ , then

$3^{-2}$ × $3^{x}$ = 81 , that is

$3^{x-2}$ = $3^{4}$

Since the bases on both sides are equal, both 3 then equate the exponents

x - 2 = 4 ( add 2 to both sides )

x = 6

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