simplify (y^4) (y^3).
y^7?
a^b * a^c = a^b+c
correct, if you mean a^(b+c)
online, without the parentheses or fancy typesetting,
a^b+c = (a^b) + c, not what you want.
To simplify the expression (y^4) * (y^3), you need to multiply the coefficients (the numbers in front of the variables) and combine the exponents of the variables.
In this case, the variable is y, and we have (y^4) * (y^3).
Multiplying the coefficients: There are no coefficients in this expression other than the implied 1. So, we just multiply 1 by 1, which gives us 1.
Combining the exponents: Since we are multiplying two powers with the same base (y), we can add the exponents. In this case, it gives us y^(4+3) = y^7.
Therefore, the simplified expression is 1 * y^7, which is equivalent to y^7.