Answer to Question #21517 in Algebra for Abby
but you can't multiply
because the bases are not the same (although the exponents are).
To multiply powers of the same base, add the exponents together:
x^a·x^b = x^(a+b).
2^4·2^9 = 2^(4+9) = 2^13.
If there’s more than one base in an expression with powers, you can combine the numbers with the same bases, find the values, and then write them all together. For example,
3^2·2^2·3^3·2^4 = 3(2+3)·2^(2+4) = 3^5·2^6.
Here's an example with a number that has no exponent showing:
4x^6y^5x^4y^1 = 4x^(6+4)y^(5+1) = 4x^10y^6.
When there’s no exponent showing, such as with y, you assume that the exponent is 1, so in the above example, you write y^1.
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