4^3 * 4^11
The ^ is separating the base from the exponent . Okay so my teacher say the answer is 4^14. But i thought i was suppose to multiply to 3 and 11 ? Why don't i ? Thankss too anyone who helped <3
The ^ is separating the base from the exponent . Okay so my teacher say the answer is 4^14. But i thought i was suppose to multiply to 3 and 11 ? Why don't i ? Thankss too anyone who helped <3
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When you multiply two exponental expressions with the same base, you add the exponents.
Remember 4^3 = 4*4*4
and 4^11 = 4*4*4*4*4*4*4*4*4*4*4
so when you mulitply those two sets of numbers together you have 14 fours. thus 4^14.
Remember 4^3 = 4*4*4
and 4^11 = 4*4*4*4*4*4*4*4*4*4*4
so when you mulitply those two sets of numbers together you have 14 fours. thus 4^14.
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You multiply the exponents when you're raising a power to the power.
- For example: (4^3)^11
You add the exponents when you're multiplying exponential numbers with the same base.
4^3 * 4^11 = 4^14
- For example: (4^3)^11
You add the exponents when you're multiplying exponential numbers with the same base.
4^3 * 4^11 = 4^14
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because the base of the equation is the same on both sides so in this case you can add the exponents. witch would give you 4 to the power of 14:)
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Your teacher is right. When you multiply two numbers with exponents, they add.
x*x = x^2
3^3 * 3^2 = 3^5
x*x = x^2
3^3 * 3^2 = 3^5
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multiplying numbers with the same base means to add their exponents
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Leave the base (4) alone and just add the exponents
4^14 <--- This is your answer!
4^14 <--- This is your answer!