Product rule
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This document explains the product rule for exponents. It states that when multiplying two powers with the same base, you can add the exponents. As an example, it shows that (43)(43) = (46). It notes you cannot add exponents from different bases, like (43)(53) = (206). The product rule allows keeping the same base and adding the exponents when multiplying terms with the same base.
Product rule
- 2. directions Step one check to make sure the bases are the same Step two check to make sure that the two # with powers are being multiplied together Step 3 keep the bases the same and add the exponents together.
- 3. The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents
- 4. In this example, you can see how it works. Adding the exponents is just a short cut! (43 )(43) (4)(4)(4) (4)(4)(4) (43 )(43) (46 )
- 5. However you cannot add powers from different bases for example (43 )(53) (206 )
- 6. You also can add multiply bases together For example (43 )(43) (4) (4)(4)(4) (4)(4)(4)(4)
- 7. It can also be reversed like (4)(4)(4) (4)(4)(4)(4) (47 )
- 8. Something to keep in mined is that a 4 still has a power of 1 so it can be added with other 4s
- 9. The end Now you can add exponents