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
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.
3
the answer is simple you can not
You multiply the exponents.
the unknowns must be the same variable and the exponents have to be the same. examples) x4 + y4 cannot be added because they are not the same variable. x3 + x2 cannot be added because they have different exponents. 3y6 + 5y6 can be added because they have the same variable and exponents. (answer: 8y6)
When you multiply two variables with different exponents, the exponents are added. For example, if you multiply x^2 by x^3, the result is x^(2+3) = x^5. Similarly, if you multiply x^3 by x^(-2), the result is x^(3+(-2)) = x^1 = x.