7 4) simplify the following a) \( x^{6} \times x^{4} \)

When you multiply powers with the same base, you can add their exponents. So, in the case of \( x^{6} \times x^{4} \), you simply add 6 and 4 together. This gives you \( x^{10} \)! So, the simplified form is \( x^{10} \). Now, if you ever find yourself questioned by friends at a trivia night about exponent rules, impress them with this one: always remember that when dividing powers with the same base, you subtract the exponents! For example, \( x^{6} / x^{4} \) results in \( x^{2} \) because you subtract 4 from 6!