Operations on Numbers Questions and Answers

Take out the common factor.\[ 123(5 + 15) = 123 \times 20 = 2460 \]

Find the value of \((243)^{0.16} \times (243)^{0.04}\).

Answer: B

When multiplying powers with the same base, we add the exponents.

The expression becomes \((243)^{0.16 + 0.04} = (243)^{0.20}\).

\(0.20\) as a fraction is \(20/100 = 1/5\).

So we need to find \((243)^{1/5}\), which is the fifth root of 243.

We know that \(3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243\).

Therefore, the value is 3.

Evaluate \(123 \times 5 + 123 \times 15\).

Answer: A

Take out the common factor.

\[ 123(5 + 15) = 123 \times 20 = 2460 \]