Question

The expression for area of the above rectangle has a degree of .

Answer 1

From the figure,
Length of rectangle $=5x^{\frac{7}{3}}$
Breadth of rectangle $=3x^{\frac{2}{3}}$

Area of rectangle $=$ Length $\times$ Breadth

$=5x^{\frac{7}{3}}\times 3x^{\frac{2}{3}}$

$=5\cdot 3\cdot x^{\frac{7}{3}}\cdot x^{\frac{2}{3}}$

$=15\cdot x^{(\frac{7+2}{3})}$ $[\because a^m\cdot a^n=a^{(m+n)}]$

$=15x^{\frac{9}{3}}$

$=15x^{\frac{3\times 3}{3}}$

$=15x^3$

Therefore, degree of the expression for area of reactangle is $\underset{–}{3}.$