Chapter SH, Problem 9.1.7EP

To determine

To calculate: To write the expression using exponents

Answer to Problem 9.1.7EP

Expression in exponent form isswa ${\left(y\right)}^8$

Explanation of Solution

Given information: Expression is $\left(y\cdot y\cdot y\right)\cdot \left(y\cdot y\cdot y\cdot y\right)$

Formula Used:

Expression in exponent form is as follows:

  $x^a$

Where,

  $x=$ Base

  $a=$ Exponent

Calculation:

Expression is given as

  $\left(y\cdot y\cdot y\right)\cdot \left(y\cdot y\cdot y\cdot y\right)$

Writing the above expression using exponents:

  $\begin{array}{l}\left(y\cdot y\cdot y\right)\cdot \left(y\cdot y\cdot y\cdot y\right)={\left(y\right)}^3\cdot {\left(y\right)}^5\\ \left(y\cdot y\cdot y\right)\cdot \left(y\cdot y\cdot y\cdot y\right)={\left(y\right)}^{3+5}\\ \left(y\cdot y\cdot y\right)\cdot \left(y\cdot y\cdot y\cdot y\right)={\left(y\right)}^8\end{array}$

Conclusion:

Hence, expression in exponent form is ${\left(y\right)}^8$