The equivalent of the given expression [tex]\sqrt[4]{7^5} * \sqrt{7^3}[/tex] in exponential form is [tex]7^\frac{11}{4}[/tex].
What is the equivalent of the given expression?
Given the data in the equation;
[tex]\sqrt[4]{7^5} * \sqrt{7^3}[/tex]
Since fourth and square roots can be written as power 1/4 and 1/2 respectively.
[tex]7^{5*\frac{1}{4} } * 7^{3*\frac{1}{2} }\\\\7^\frac{5}{4} * 7^\frac{3}{2}[/tex]
From exponent rule, n^a × n^b = b^(a + b )
[tex]7^{ \frac{5}{4} +\frac{3}{2} }\\\\7^\frac{11}{4}[/tex]
The equivalent of the given expression [tex]\sqrt[4]{7^5} * \sqrt{7^3}[/tex] in exponential form is [tex]7^\frac{11}{4}[/tex].
Hence, option D) [tex]7^\frac{11}{4}[/tex] is the correct answer.
Learn more about exponent rule here: brainly.com/question/219134
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