Question

Write the following in product form and write the terms in words.

(1) 10⁷
(2) (–4)⁶
(3) 9³
(4) m⁸
(5) (1.4)²
(6) ${\left(\frac{2}{5}\right)}^4$
(7) ${\left(-\frac{3}{4}\right)}^5$
(8) (–1)³
(9) ${\left(2\frac{1}{3}\right)}^2$
(10) a³

Answer 1

(1) 10⁷
The product form of 10⁷ = 10 multiplied 7 times = 10 × 10 × 10 × 10 × 10 × 10 × 10
Word form of 10⁷ = 10 to the power 7.

(2) (–4)⁶
The product form of (–4)⁶ = (–4) multiplied 6 times = (–4) × (–4) × (–4) × (–4) × (–4) × (–4)
Word form of (–4)⁶ = (–4) to the power 6.

(3) 9³
The product form of 9³ = 9 multiplied 3 times = 9 × 9 × 9
Word form of 9³ = 9 to the power 3.

(4) m⁸
The product form of m⁸ = m multiplied 8 times = m × m × m × m × m × m × m × m
Word form of m⁸ = m to the power 8.

(5) (1.4)²
The product form of (1.4)² = 1.4 multiplied 2 times = 1.4 × 1.4
Word form of (1.4)² = 1.4 to the power 2.

(6) ${\left(\frac{2}{5}\right)}^4$
The product form of ${\left(\frac{2}{5}\right)}^4=\frac{2}{5}$ multiplied 4 times$=\frac{2}{5}\times \frac{2}{5}\times \frac{2}{5}\times \frac{2}{5}$
Word form of ${\left(\frac{2}{5}\right)}^4=\frac{2}{5}$ to the power 4.

(7) ${\left(-\frac{3}{4}\right)}^5$
The product form of ${\left(-\frac{3}{4}\right)}^5=\left(-\frac{3}{4}\right)$ multiplied 5 times$=\left(-\frac{3}{4}\right)\times \left(-\frac{3}{4}\right)\times \left(-\frac{3}{4}\right)\times \left(-\frac{3}{4}\right)\times \left(-\frac{3}{4}\right)$
Word form of ${\left(-\frac{3}{5}\right)}^5=\left(-\frac{3}{4}\right)$ to the power 5.

(8) (–1)³
The product form of (–1)³ = (–1) multiplied 3 times = (–1) × (–1) × (–1)
Word form of (–1)³ = (–1) to the power 3.

(9) ${\left(2\frac{1}{3}\right)}^2$
The product form of ${\left(2\frac{1}{3}\right)}^2=\left(2\frac{1}{3}\right)$ multiplied 2 times $=\left(2\frac{1}{3}\right)\times \left(2\frac{1}{3}\right)$
Word form of ${\left(2\frac{1}{3}\right)}^2=\left(2\frac{1}{3}\right)$ to the power 2.

(10) a³
The product form of a³ = a multiplied 3 times = a × a × a
Word form of a³ = a to the power 3.