Simplify: 5⁷×(−2)⁷

Given: 5⁷×(−2)⁷

According to the law of exponents we have ${\mathrm{a}}^{\mathrm{m}}\times {\mathrm{b}}^{\mathrm{m}}={\left(\mathrm{ab}\right)}^{\mathrm{m}}$

Therefore, the above expression can be written as,

5⁷×(−2)⁷ = [5×(−2)]⁷ = (−10)⁷