Mathematics: Which expressions are equivalent to the one below ? check all that apply : ) 21^x/3^x a- 7 b- (21-3)^x c- 3^x d- 7^x*3^x/3^x e- (21/3)^x d- 7^x

the answer is bStep-by-step explanation:...

Which expressions are equivalent to the one below

victoriazh2005

13.03.2022

Option D and E are equivalent to the given expression.

Step-by-step explanation:

Given : $\frac{21^x}{3^x}$

Solution:

$\frac{21^x}{3^x}$

Using identity : $\frac{a^x}{b^x} = (\frac{a}{b})^x$

$(\frac{21}{3})^x$ -- Option E

Now this can be written as $21^x = 7^x \times 3^x$

Identity : $a^x \times b^x = (a \cdot b)^x$

$\frac{7^x \times 3^x}{3^x}$ -- Option D

(7)^x -- Option D

Thus Option D and E are equivalent to the given expression.

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