=\frac{3^2}{4^2}\cdot\frac{3^5}{4^5}
\\
=\frac{3^{2+5}}{4^{2+5}}
\\
=\frac{3^7}{4^7}
\\
=\left(\frac{3}{4}\right)^7
\left(\frac{3}{4}\right)^{2}\cdot\left(\frac{3}{4}\right)^{5}
5 answers
i cant understand that can u put it simpler?
Of course! Here's a simpler explanation:
When you have the same base number raised to different exponents and multiplied together, you can add the exponents.
So, in this case, we have:
\(\left(\frac{3}{4}\right)^{2} \cdot \left(\frac{3}{4}\right)^{5}\),
We can combine these two terms by adding the exponents:
\(= \left(\frac{3}{4}\right)^{2+5} = \left(\frac{3}{4}\right)^{7}\).
Therefore, the expression simplifies to \(\left(\frac{3}{4}\right)^{7}\).
When you have the same base number raised to different exponents and multiplied together, you can add the exponents.
So, in this case, we have:
\(\left(\frac{3}{4}\right)^{2} \cdot \left(\frac{3}{4}\right)^{5}\),
We can combine these two terms by adding the exponents:
\(= \left(\frac{3}{4}\right)^{2+5} = \left(\frac{3}{4}\right)^{7}\).
Therefore, the expression simplifies to \(\left(\frac{3}{4}\right)^{7}\).
remove those symbols
Sure! When you have the same fraction raised to different exponents and multiplied together, you can simply add the exponents.
So, in this case, \((3/4)^2 \cdot (3/4)^5\) simplifies to \((3/4)^7\).
So, in this case, \((3/4)^2 \cdot (3/4)^5\) simplifies to \((3/4)^7\).