QUESTION C
[tex] ({9}^{4} ) ^{ \frac{1}{4} } = {9}^{1} [/tex]
Reason: The law of exponents says that,
[tex]( {a}^{m} ) ^{n} = {a}^{mn} [/tex]
This implies that,
[tex] ({9}^{4} ) ^{ \frac{1}{4} } = {9}^{4 \times \frac{1}{4} } = {9}^{1} [/tex]
QUESTION D
The given exponential expression is
[tex] ({5}^{ \frac{1}{3} } ) ^{ 3 } = {5}^{1} [/tex]
Reason:
The law of exponents says that,
[tex]( {a}^{m} ) ^{n} = {a}^{mn} [/tex]
Thus, when an index number is raised to another index or exponent, the exponent will multiply.
This implies that,
[tex] ({5}^{ \frac{1}{3} } ) ^{ 3 } = {5}^{ \frac{1}{3} \times 3} = {5}^{1} [/tex]
