Questions: Multiply and simplify. (7 p)^2 cdot(7 p)^2 (7 p)^2 cdot(7 p)^2=

Solution Steps

To solve the given problem, we need to multiply and simplify the expression \((7p)^2 \cdot (7p)^2\). We can use the properties of exponents to simplify the expression. Specifically, we will use the property that \((a^m \cdot a^n) = a^{m+n}\).

We start with the expression: \[ (7p)^2 \cdot (7p)^2 \]

Using the property of exponents \((a^m \cdot a^n) = a^{m+n}\), we can combine the exponents: \[ (7p)^2 \cdot (7p)^2 = (7p)^{2+2} \]

Simplify the exponent by adding the exponents together: \[ (7p)^{2+2} = (7p)^4 \]

Final Answer