Question
Simplify. Express your answer as a single term using exponents.
744 to the power of 49 times 744 to the power of 5 times 744 to the power of two
744 to the power of 49 times 744 to the power of 5 times 744 to the power of two
Answers
GPT-4o mini
To simplify the expression \( 744^{49} \times 744^{5} \times 744^{2} \), we can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
Applying this property:
\[
744^{49} \times 744^{5} \times 744^{2} = 744^{49 + 5 + 2}
\]
Now, we add the exponents:
\[
49 + 5 + 2 = 56
\]
Therefore, the simplified expression is:
\[
744^{56}
\]
Applying this property:
\[
744^{49} \times 744^{5} \times 744^{2} = 744^{49 + 5 + 2}
\]
Now, we add the exponents:
\[
49 + 5 + 2 = 56
\]
Therefore, the simplified expression is:
\[
744^{56}
\]