Question

Write the power ¡n words and as a repeated multiplication. Then evaluate the power. $\left(p.10\right)$

${\left(1.3\right)}^3$

Short answer

1.3 raised to the power 3.

Value of given expression is $2.197$.

Repeated multiplication is $1.3\times 1.3\times 1.3$.

Step-by-step solution

Step-1- Concept of exponents and power

Consider the expression, $x^y$.

The expression can be written in word as “x raised to the power y”. Here, x is the base and, y is the exponent.

Step-2-Evaluating given expression

${\left(1.3\right)}^3$

In given expression, 1.3 is the base & 3 is the exponent.

So, it is written as 1.3 raised to the power 3.

Repeated multiplication is $1.3\times 1.3\times 1.3$.

On simplifying, it gives,

$\begin{array}{c}{(1.3)}^3=1.3\times 1.3\times 1.3\\ {(1.3)}^3=1.69\times 1.3\\ {(1.3)}^3=2.197\end{array}$

Step-3-Conclusion

Therefore, the value of given expression is $2.197$.