(3n^4)^4 =
3d^3 x d^9 =
5e^4 x 6e^5 =
thanks
To simplify these expressions, you can follow these steps:
1. (3n^4)^4:
To simplify the expression (3n^4)^4, you need to raise both the base, 3, and the exponent, 4, to the power of 4. So you will have:
(3^4) x (n^4)^4 = 81 x n^(4x4) = 81n^16
2. 3d^3 x d^9:
To multiply these terms, you need to multiply the coefficients (numbers) and add their exponents. Since the bases are both "d," you can multiply the exponents. So you will have:
3d^3 x d^9 = 3d^(3+9) = 3d^12
3. 5e^4 x 6e^5:
To multiply these terms, you need to multiply the coefficients (numbers) and add their exponents. Since the bases are both "e," you can multiply the exponents. So you will have:
5e^4 x 6e^5 = (5 x 6) x e^(4+5) = 30e^9
Therefore, the simplified expressions are:
(3n^4)^4 = 81n^16
3d^3 x d^9 = 3d^12
5e^4 x 6e^5 = 30e^9