- $\frac{7x^{( - 9)} \times y^{3}(x^{4} \times y^{4})^{5}}{8 \times y^{( - 1)}(x^{( - 2)})^{( - 2)}} = \frac{7x^{( - 9)} \times y^{3} \times x^{20} \times y^{20}}{8 \times y^{( - 1)} \times x^{4}} = \frac{7x^{11}y^{23}}{8x^{4}y^{( - 1)}} = \frac{7x^{7}y^{24}}{8}$
- $4x^{4} \times y^{4}(x^{5} \times y^{( - 3)})^{3} = 4x^{4} \times y^{4} \times x^{15} \times y^{( - 9)} = 4x^{19}y^{( - 5)} = \frac{4x^{19}}{y^{5}}$
- $x^{5} \times y^{5}(x^{5} \times y^{( - 2)})^{4} = x^{5} \times y^{5} \times x^{20} \times y^{( - 8)} = x^{25}y^{( - 3)} = \frac{x^{25}}{y^{3}}$
- $3 \times y^{( - 2)}x^{3}(x^{6})^{( - 1)}x^{3}(y^{( - 1)})^{2} = 3 \times y^{( - 2)}x^{3} \times x^{( - 6)} \times x^{3} \times y^{( - 2)} = 3x^{0}y^{( - 4)} = \frac{3}{y^{4}}$
- $6 \times y^{( - 4)}x^{( - 5)}(x^{4})^{( - 3)}x^{( - 1)}(y^{2})^{( - 1)} = 6 \times y^{( - 4)}x^{( - 5)} \times x^{( - 12)} \times x^{( - 1)} \times y^{( - 2)} = 6x^{( - 18)}y^{( - 6)} = \frac{6}{x^{18}y^{6}}$
- $1 \times y^{( - 4)}x^{5}(x^{2})^{( - 2)}x^{3}(y^{4})^{5} = y^{( - 4)}x^{5} \times x^{( - 4)} \times x^{3} \times y^{20} = x^{4}y^{16}$
- $\frac{7x^{( - 5)} \times y^{( - 5)}(x^{( - 2)} \times y^{( - 2)})^{5}}{1 \times y^{( - 1)}(x^{4})^{2}} = \frac{7x^{( - 5)} \times y^{( - 5)} \times x^{( - 10)} \times y^{( - 10)}}{y^{( - 1)} \times x^{8}} = \frac{7x^{( - 15)}y^{( - 15)}}{x^{8}y^{( - 1)}} = 7x^{( - 23)}y^{( - 14)} = \frac{7}{x^{23}y^{14}}$
- $9x^{5} \times y^{5}(x^{2} \times y^{( - 3)})^{( - 1)} = 9x^{5} \times y^{5} \times x^{( - 2)} \times y^{3} = 9x^{3}y^{8}$
- $3x^{6} \times y^{6}(x^{( - 2)} \times y^{( - 12)})^{( - 2)} = 3x^{6} \times y^{6} \times x^{4} \times y^{24} = 3x^{10}y^{30}$
- $\frac{9x^{( - 1)} \times y^{4}(x^{6} \times y^{6})^{5}}{9 \times y^{( - 3)}(x^{( - 2)})^{2}} = \frac{9x^{( - 1)} \times y^{4} \times x^{30} \times y^{30}}{9 \times y^{( - 3)} \times x^{( - 4)}} = \frac{x^{29}y^{34}}{x^{( - 4)}y^{( - 3)}} = x^{33}y^{37}$
Parent Tip: Review the logic above to help your child master the concept of simplify expressions with exponents worksheet.
