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Sagot :
Let's simplify the given expression step-by-step.
The expression to simplify is:
[tex]\[ \left(m^4\right)^{\frac{3}{8}} \][/tex]
1. Using the power of a power property:
When you raise a power to another power, you multiply the exponents. The property states:
[tex]\[ (a^m)^n = a^{m \cdot n} \][/tex]
2. Apply this property to our expression:
[tex]\[ \left(m^4\right)^{\frac{3}{8}} = m^{4 \cdot \frac{3}{8}} \][/tex]
3. Multiply the exponents:
[tex]\[ 4 \cdot \frac{3}{8} = \frac{4 \cdot 3}{8} = \frac{12}{8} = \frac{3}{2} \][/tex]
Thus, the simplified expression is:
[tex]\[ m^{\frac{3}{2}} \][/tex]
Therefore, the answer is:
[tex]\(\boxed{m^{0.375}}\)[/tex]
The expression to simplify is:
[tex]\[ \left(m^4\right)^{\frac{3}{8}} \][/tex]
1. Using the power of a power property:
When you raise a power to another power, you multiply the exponents. The property states:
[tex]\[ (a^m)^n = a^{m \cdot n} \][/tex]
2. Apply this property to our expression:
[tex]\[ \left(m^4\right)^{\frac{3}{8}} = m^{4 \cdot \frac{3}{8}} \][/tex]
3. Multiply the exponents:
[tex]\[ 4 \cdot \frac{3}{8} = \frac{4 \cdot 3}{8} = \frac{12}{8} = \frac{3}{2} \][/tex]
Thus, the simplified expression is:
[tex]\[ m^{\frac{3}{2}} \][/tex]
Therefore, the answer is:
[tex]\(\boxed{m^{0.375}}\)[/tex]
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