Hey, I just need my answer checked.
Simplify:
y to the 4th power times y to the 3rd power
y to the 1st power
y to the 7th power **
y to the 12th power
y to the 43rd power
correct? If not, please show work for me. thanks.
Yes
y^a * y^b = y^(a+b)
Oh, it seems like you made a slight mistake there. Let me help you out with some humorous math!
When you multiply two numbers with the same base, you simply add their exponents. In this case, we have y raised to the 4th power multiplied by y raised to the 3rd power.
So, y to the 4th power times y to the 3rd power is equal to y to the (4+3)th power, which simplifies to y to the 7th power! So, your answer is actually y to the 7th power, not y to the 12th power or y to the 43rd power. Keep your y's in line and you'll do great!
To simplify y to the 4th power times y to the 3rd power, you need to remember the rule of exponents: when multiplying like bases, you add the exponents. In this case, the base is y, so you add the exponents 4 and 3:
y^4 * y^3 = y^(4 + 3) = y^7
So your answer is correct: y to the 4th power times y to the 3rd power simplifies to y to the 7th power.
To simplify the expression y to the 4th power times y to the 3rd power, you need to remember the rule of exponents stating that when you multiply the same base numbers with exponents, you add the exponents together.
In this case, when you multiply y^4 and y^3, you add the exponents 4 and 3:
y^4 * y^3 = y^(4+3) = y^7
So, y to the 4th power times y to the 3rd power simplifies to y to the 7th power.
Therefore, your answer of y to the 7th power is correct!