Use the Quotient Property and Negative Exponent Property to generate an equivalent expression for 49√7−3.

Answer 1

We can use the negative exponent property to write the expression as $\dfrac{1}{7^{1/2}}-3$. We can then simplify this further by using the quotient property, which states that $\dfrac{a}{b}-c=\dfrac{a-cb}{b}$. Applying this property to our expression, we get $\dfrac{1-3 \cdot 7^{1/2}}{7^{1/2}}$. Thus, an equivalent expression is $\boxed{\dfrac{1-3 \sqrt{7}}{\sqrt{7}}}$.