Simplify the expression -3/8a^xb^(m+1)-4/5a^(x-1)b^n

 Exercise

$\left(-\frac{3}{8}a^xb^{m+1}\right)\left(-\frac{4}{5}a^{x-1}b^n\right)$

 

When multiplying exponents with same base we can add the exponents

$-\frac{3}{8}\cdot \left(-\frac{4}{5}\right)a^{\left(x+x-1\right)}b^{\left(m+1\right)}b^n$

 

When multiplying exponents with same base we can add the exponents

$-\frac{3}{8}\cdot \left(-\frac{4}{5}\right)a^{\left(x+x-1\right)}b^{\left(m+1+n\right)}$

 

Combining like terms $x$ and $x$

$-\frac{3}{8}\cdot -\frac{4}{5}a^{\left(2x-1\right)}b^{\left(m+1+n\right)}$

 

Multiplying fractions $-\frac{3}{8} \times -\frac{4}{5}$

$\frac{3}{10}a^{\left(2x-1\right)}b^{\left(m+1+n\right)}$

$\frac{3}{10}a^{\left(2x-1\right)}b^{\left(m+1+n\right)}$

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