Use the Quotient Property and Negative Exponent Property to generate an equivalent expression for 49√7−3.
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 $\boxed{\dfrac{1-3 \sqrt{7}}{\sqrt{7}}}$.
To generate an equivalent expression for 49√7−3 using the Quotient Property and Negative Exponent Property, we can rewrite the expression as a single fraction and apply the negative exponent to eliminate the radical.
Step 1: Rewrite the expression as a fraction using the Quotient Property.
49√7 − 3 = 49√7/1 − 3/1
Step 2: Apply the Negative Exponent Property to eliminate the radical.
49√7/1 − 3/1 = 49(7)^(1/2)/1 - 3/1
Step 3: Simplify the expression.
49(7)^(1/2)/1 - 3/1 = 49(√7)/1 - 3/1 = 49√7 - 3
Therefore, the equivalent expression for 49√7 − 3 is 49√7 - 3.