Which expressions are equivalent to 49^x? Check all that apply. A.7•7^x. B. 7^2x C.7^2•7^x. D. 7^x•7^x. E. (7•7)^x. F.7•7^2x

The equivalent expressions are:

Option B  

Option D  

Option E  

Solution:

Given expression is:

We have to find the equivalent expressions

Use the law of exponent

Therefore,

Thus, option A is not equivalent to given expression

Thus option B is equivalent to given expression

Use the law of exponent

Thus, option C is not equivalent to given expression

Therefore,

Thus option D is equivalent to given expression

Thus option E is equivalent to given expression

Thus, option F is not equivalent to given expression