To multiply exponents with different coefficients, you first multiply the coefficients together and then apply the exponent rule. For example, if you have (a^m) and (b^n), the result of multiplying them is (ab^{mn}). The exponents remain the same unless they have the same base, in which case you add the exponents together. So, (a^m \cdot a^n = a^{m+n}).
Just multiply the coefficients, leave the variable the same, and add the exponents.
Do you mean? 4r2 * 3r2 = 12r4 ====== You multiply the coefficients of the variable terms and add the exponents.
X2 * 2X= 2X3======multiply coefficients and add exponents ( all variables have a 1 as implied exponent )
To multiply the expressions (10a^8) and (5a^4), you first multiply the coefficients (10 and 5) and then combine the powers of (a). The coefficients multiply to give (50), and when adding the exponents of (a) (8 and 4), you get (a^{12}). Therefore, the equation simplifies to (50a^{12}).
To add or subtract numbers in scientific notation, ensure the exponents are the same; if not, adjust one of the numbers so they match before performing the operation. For multiplication, multiply the coefficients and add the exponents. For division, divide the coefficients and subtract the exponents. Finally, express the result in proper scientific notation, adjusting the coefficient to be between 1 and 10 if necessary.
Just multiply the coefficients, leave the variable the same, and add the exponents.
2X * 2X * 2X * 2X5 multiply the coefficients together and add the exponents = 168 ---------
Multiply
X2 * 2X= 2X3======multiply coefficients and add exponents ( all variables have a 1 as implied exponent )
Do you mean? 4r2 * 3r2 = 12r4 ====== You multiply the coefficients of the variable terms and add the exponents.
To multiply the expressions (10a^8) and (5a^4), you first multiply the coefficients (10 and 5) and then combine the powers of (a). The coefficients multiply to give (50), and when adding the exponents of (a) (8 and 4), you get (a^{12}). Therefore, the equation simplifies to (50a^{12}).
To add or subtract numbers in scientific notation, ensure the exponents are the same; if not, adjust one of the numbers so they match before performing the operation. For multiplication, multiply the coefficients and add the exponents. For division, divide the coefficients and subtract the exponents. Finally, express the result in proper scientific notation, adjusting the coefficient to be between 1 and 10 if necessary.
To calculate the result of multiplying (2.5 \times 10^{10}) by (3.5 \times 10^{2}), you can first multiply the coefficients (2.5 and 3.5) and then add the exponents of 10. The coefficients multiply to (8.75), and the exponents add to (10 + 2 = 12). Thus, the result is (8.75 \times 10^{12}).
3
the answer is simple you can not
To simplify the expression (11p^3q^4)(-5p^8q), you multiply the coefficients and add the exponents of like bases. Multiply the coefficients: 11 * -5 = -55. For the variable ( p ), add the exponents: ( 3 + 8 = 11 ); for ( q ), add ( 4 + 1 = 5 ). Thus, the simplified expression is (-55p^{11}q^5).
To multiply (4x) by (x^2), you simply multiply the coefficients and add the exponents of the like terms. The coefficient is 4, and the exponents of (x) are 1 and 2. Therefore, (4x \cdot x^2 = 4 \cdot x^{1+2} = 4x^3).