Simplify the expression 91/2a^2b^3-3/20a^20b^20

 Exercise

$\left(9\:\frac{1}{2}a^2b^3\right)\left(-\frac{3}{20}a^{20}b^{20}\right)$

 

Multiply the fraction and term in $9\cdot \left(\frac{1}{2}\right)\cdot \left(-\frac{3}{20}\right)a^2b^3a^{20}b^{20}$

$\frac{9}{2}\cdot -\frac{3}{20}a^2b^3a^{20}b^{20}$

 

When multiplying exponents with same base we can add the exponents

$\frac{9}{2}\cdot \left(-\frac{3}{20}\right)a^{22}b^3b^{20}$

 

When multiplying exponents with same base we can add the exponents

$\frac{9}{2}\cdot -\frac{3}{20}a^{22}b^{23}$

 

Multiplying fractions $\frac{9}{2} \times -\frac{3}{20}$

$-\frac{27}{40}a^{22}b^{23}$

$-\frac{27}{40}a^{22}b^{23}$

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