Question

80. Use properties of exponents to rewrite each expression as either an integer or as a quotient of integers p/q to show the expression is a rational number.
c. 16*3/2*(1/27)2/3

Answer 1

Answer:

This expression can be rewritten as 24/9

Step-by-step explanation:

c) $16(3/2)(1/27^{2/3} )$

$16(3/2) (1/27^{2/3})= 16\frac{3}{2} (\frac{1}{27^{2/3} })=\frac{48}{2}(\frac{1}{27^{2/3} })=\frac{24}{27^{2/3} } =\frac{24}{9}$

Thus, since this expression is a quotient of two integers 24 and 9, it is a rational number.