To evaluate \((7x)^3\) when \(x = 2\), follow these steps: 1. Substitute \(x\) with 2: \[ (7 \cdot 2)^3 \] 2. Calculate \(7 \cdot 2\): \[ 14 \] 3. Now raise \(14\) to the power of 3: \[ 14^3 = 14 \times 14 \times 14 \] 4. Calculate \(14^2\): \[ 14 \times 14 = 196 \] 5. Then multiply \(196\) by \(14\): \[ 196 \times 14 = 2744 \] So, \((7x)^3\) when \(x = 2\) is \(2744\).

(7x)^3 when x = 2

1 answer

To evaluate \((7x)^3\) when \(x = 2\), follow these steps:

Substitute \(x\) with 2: \[ (7 \cdot 2)^3 \]
Calculate \(7 \cdot 2\): \[ 14 \]
Now raise \(14\) to the power of 3: \[ 14^3 = 14 \times 14 \times 14 \]
Calculate \(14^2\): \[ 14 \times 14 = 196 \]
Then multiply \(196\) by \(14\): \[ 196 \times 14 = 2744 \]

So, \((7x)^3\) when \(x = 2\) is \(2744\).