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s3.1.6

Exponent Rules

1,000 questions

These problems test basic exponent rules:

  • Product Rule: xaxb=xa+bx^a \cdot x^b = x^{a+b}
  • Quotient Rule: xa/xb=xabx^a / x^b = x^{a-b}
  • Power Rule: (xa)b=xab(x^a)^b = x^{ab}

For example, if 3x=70.13^x = 70.1, then 3x+2=3x32=70.19=630.93^{x+2} = 3^x \cdot 3^2 = 70.1 \cdot 9 = 630.9.

Practise this