m^4 x m^3 = m^7
Using a numerical example, 2^4 x 2^3 = 16 x 8 = 128 = 2^7
m4n4
X to the 7th power. X^m*X^n=X^m+n That means when you multiply variables with the same base, you add the exponents.
8.13288 (rounded)
Four times a variable, named m, multiplied by itself four times. Technically (or pedantically) it is multiplied three times but that is one of the oddities of verbal expressions.
m^4 n^5 - m^20 n^21
m4n4
X to the 7th power. X^m*X^n=X^m+n That means when you multiply variables with the same base, you add the exponents.
What does m times m times m mean?
The question is open to multiple interpretations but I think you mean [(-2m)^4] x (n^6)^2 = [(-2)^4](m^4)(n^12) = 16(m^4)(n^12) or 16 times m to the 4th power times n to the 12th power.
m3 + 125n3 = (m + 5n)*(m2 - 5mn + 25n2)
8.13288 (rounded)
Four times a variable, named m, multiplied by itself four times. Technically (or pedantically) it is multiplied three times but that is one of the oddities of verbal expressions.
m^4 n^5 - m^20 n^21
8m - 1/4
The "second power" means squared. "Squared" means multiplied by itself. Thus M to the second power = M times M.
am * an = am+n
m3*m5 = m3+5 = m8