[tex](100 {x}^{2} ) \frac{1}{2} [/tex]
Simplify the expression.
[tex] {10}^{2} \binom{1}{2} \: ( {x}^{4} ) \frac{1}{2} [/tex]
Apply the product rule to
[tex]100 {x}^{4} .[/tex]
[tex]100 \frac{1}{2} ( {x}^{4} ) \frac{1}{2} [/tex]
Rewrite 100 as 10²
[tex]( {10}^{2} ) \frac{1}{2}( {x}^{4} ) \frac{1}{2} [/tex]
Apply the power rule and multiply exponents,
[tex]( {a}^{m} ) ^{n} = {a}^{mn} .[/tex]
[tex] {10}^{2} \binom{1}{2} ( {x}^{4} ) \frac{1}{2} [/tex]
Cancel the common factor of 2.
[tex] {10}^{1} ( {x}^{4} ) \frac{1}{2} [/tex]
Cancel common factor.
[tex]10 \binom{1}{2} ( {x}^{4} ) \frac{1}{2} [/tex]
Rewrite the expression.
[tex] {10}^{1} ( {x}^{4} ) \frac{1}{2} [/tex]
Simplify the expression.
[tex]10 {x}^{2} [/tex]
Evaluate the exponent.
[tex]10( {x}^{4} ) \frac{1}{2} [/tex]
Multiply the exponents in
[tex]( {x}^{4} ) \frac{1}{2} .[/tex]
[tex] {10x}^{2} [/tex]
Apply the power rule and multiply exponents,
[tex]( {a}^{m} )^{n} = {a}^{mn} .[/tex]
[tex] {10x}^{4} \binom{1}{2} [/tex]
Cancel the common factor of 2.
[tex]10 {x}^{2} [/tex]
Factor 2 out of 4.
[tex]10 {x}^{2} (2) \frac{1}{2} [/tex]
Cancel the common factor.
[tex]10 {x} \times 2 \frac{1}{2} [/tex]
Rewrite the expression.
[tex] {10x}^{2} [/tex]
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