(25)^7.5 \times (5)^2.5 \div (125)^1.5 = 5?

Surds and Indices Practice Test 2

Question : 10 of 17

Marks: +1, -0

(25)^7.5 × (5)^2.5 ÷ (125)^1.5 = 5?

Solution:

(25)^7.5 × (5)^2.5 ÷ (125)^1.5

=5^15×5^2.5÷5^4.5

= 5^(15 + 2.5 - 4.5) = 5^13

∴?=13

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