Surds and Indices Practice Test 2

Question : 4 of 17

Marks: +1, -0

What should come in place of the question mark in the following question?

2^0.2 × 64 × 8^1.3 × 4^0.2 = 8^{?}

Solution:

2^0.2 × 64 × 8^1.3 × 4^0.2

=2^0.2 × 2^6 × 2^{3×1.3} × 2^{2×0.2}

=2^0.2 × 2^6 × 2^{3.9} × 2^{0.4}

=2^{10.5}=(2^3)^{10.5/3}=8^{3.5}

Now,

8^{?}=8^3.5⇒?=3.5

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