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Surds and Indices Practice Test 1

Question : 2 of 40

Marks: +1, -0

(17)^{3.5} \times (17)^{?} = 17^{8}

Solution:

Concept:

When multiplying powers with the same base, add the exponents:

a^m \times a^n = a^{m+n}

Explanation:

Let the missing exponent be

x

Then

(17)^{3.5} \times (17)^x = 17^8

Using the rule:

17^{3.5+x} = 17^8

Since the bases are equal, equate the powers:

3.5 + x = 8

So,

x = 8 - 3.5 = 4.5

Answer:

The missing exponent is

4.5

, so the correct option is A.

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