wanted to know if I got the correct answer?

question (2a10b2)(3a2b2)
answer 6a^12+5a^12b^4+b^4

do you mean something like this: [2(a^10)(b^2)][3(a^2)(b^2)]

if so, then
for constants, we just multiply them normally,, for the variables, recall some laws of exponent,, multiplying terms of same base is also equal to base raised to sum of its exponents,, for example
5^2 * 5^5 = 5^(2+5) = 5^7
x^3 * x^(-4) = x^(3-4) = x^(-1)
thus
for constants: 2*3 = 6
for base a: a^10 * a^2 = a^12
for base b: b^2 * b^2 = b^4
multiplying all of them, we have
6a^12*b^4

hope this helps~ :)

one number is 5times anotherand their sum is 438.whatare the number?give answer in part a,b and c

To find out if you got the correct answer, we can simplify the given expression.

Starting with (2a^10b^2)(3a^2b^2):

First, multiply the coefficients: 2 * 3 = 6.

Next, for the variable 'a', add the exponents: 10 + 2 = 12.

For the variable 'b', add the exponents: 2 + 2 = 4.

Putting it all together, the simplified expression is 6a^12b^4.

To verify if your answer is correct, compare it to the simplified expression we obtained: 6a^12b^4.

So, your answer of 6a^12+5a^12b^4+b^4 is incorrect. It should be 6a^12b^4.

To determine if you got the correct answer, let's simplify the expression (2a^10b^2)(3a^2b^2) step by step:

Step 1: Multiply the coefficients, which are 2 and 3:
2 * 3 = 6

Step 2: Multiply the variables with the same base, "a," by adding their exponents:
a^10 * a^2 = a^(10+2) = a^12

Step 3: Multiply the variables with the same base, "b," by adding their exponents:
b^2 * b^2 = b^(2+2) = b^4

Combining all the parts, we get the simplified expression:
6a^12b^4

Now, comparing the simplified expression 6a^12b^4 with your answer 6a^12 + 5a^12b^4 + b^4, we can see that your answer is incorrect.