Last week we looked at exponents with fractions (in ExponentFrac). Today we will expand our understanding of exponents and work with variables. This concept appeared 10 times last year, with a median placement at question # 78.
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Number Dojo Level: 297
To understand how to solve these problems, we first need to understand some of the rules of exponents. It might be helpful to review the Logarithm lesson. Here are some of the rules:
- Adding one to the exponent requires multiplying by the base.
- Subtracting one to the exponent requires dividing by the base.
- Doubling the exponent requires squaring the result.
- Halving the exponent requires taking the square root of the result.
Note: Do not be tempted to solve for x with these problems. In most cases, it is impossible to do mentally.