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Answer :
The area of the table top is given as
[tex]$$3^7 \text{ square inches},$$[/tex]
and the length is
[tex]$$3^4 \text{ inches}.$$[/tex]
To find the width, we use the formula for the area of a rectangle:
[tex]$$\text{Area} = \text{Length} \times \text{Width}.$$[/tex]
Thus, the width is
[tex]$$\text{Width} = \frac{\text{Area}}{\text{Length}} = \frac{3^7}{3^4}.$$[/tex]
We can simplify this expression by using the exponent rule for division:
[tex]$$\frac{3^7}{3^4} = 3^{7-4} = 3^3.$$[/tex]
Since
[tex]$$3^3 = 27,$$[/tex]
the width of the table top is
[tex]$$27 \text{ inches}.$$[/tex]
[tex]$$3^7 \text{ square inches},$$[/tex]
and the length is
[tex]$$3^4 \text{ inches}.$$[/tex]
To find the width, we use the formula for the area of a rectangle:
[tex]$$\text{Area} = \text{Length} \times \text{Width}.$$[/tex]
Thus, the width is
[tex]$$\text{Width} = \frac{\text{Area}}{\text{Length}} = \frac{3^7}{3^4}.$$[/tex]
We can simplify this expression by using the exponent rule for division:
[tex]$$\frac{3^7}{3^4} = 3^{7-4} = 3^3.$$[/tex]
Since
[tex]$$3^3 = 27,$$[/tex]
the width of the table top is
[tex]$$27 \text{ inches}.$$[/tex]
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