Question - Determining the Name of Mathematical Expression
Solution:
The image contains a mathematical question asking for another name for the expression $$ B^{3/9} $$. Simplifying $$ B^{3/9} $$ by dividing both the numerator and the denominator of the exponent by their greatest common divisor, which is 3, we get $$ B^{(3÷3)/(9÷3)} = B^{1/3} $$.Now let's look at the answer options:A) $$ B^2 $$B) $$ \sqrt[3]{B} $$C) $$ B^9 $$D) $$ \sqrt[9]{B} $$The correct answer is B, $$ \sqrt[3]{B} $$, because an exponent of $$ 1/3 $$ is equivalent to the cube root of the base, in this case, $$ B $$.
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