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Hey there! Ready to discover a cool math superpower? Exponents are like a shorthand code for multiplication!
Imagine you have a number that multiplies by itself over and over again, like 2 × 2 × 2 × 2. Writing that out can get tiring! Exponents are a shortcut to write these repeated multiplications quickly.
An exponent has two main parts: a big 'base' number on the bottom, and a tiny 'exponent' (or power) floating up high. The base tells us what number to multiply, and the tiny exponent tells us how many times to use it in our multiplication.
Let's look at 2 to the power of 3 (written as 2³). This doesn't mean 2 × 3! Instead, it means we write down the base (2) three times, and multiply them together: 2 × 2 × 2, which equals 8.
Evaluate the exponent 3⁴.
- Identify the base and the exponent. Here, the base is 3 and the exponent is 4.
- Write out the base (3) the number of times shown by the exponent (4): 3 × 3 × 3 × 3.
- Multiply the first two numbers: 3 × 3 = 9. Now our problem looks like 9 × 3 × 3.
- Multiply by the next 3: 9 × 3 = 27. Now we have 27 × 3.
- Multiply one last time: 27 × 3 = 81. So, 3⁴ = 81!
