Question

13^2 * 5^2 - 10^2 *6^2 = ?​

Answer 1

Answer:

13^2 * 5^2 - 10^2 *6^2 = 625

Step-by-step explanation:

13^2 * 5^2 - 10^2 *6^2

={(13^2) * (5^2)} - {(10^2) *(6^2)}

={169 * 25} - {100 * 36}

=4225 - 3600

=625

Answer 2

Answer:

625

Step-by-step explanation:

You can find a solution to this equation using order of operations, also known as "PEMDAS". They all stand for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction, respectively. When simplifying an expression like this, you want to do these operations in PEMDAS in order. So first, you check for parentheses. There aren't any, so then you check for exponents. Yes. Any time you see a carrot in front of a number, that's an exponent. For example, 3^2 = Three to the Second Power. An exponent of two means you multiply that number by itself this many times, so 3^2 = 3 * 3 which is 9. So 3^2 is 9. Back to this question at hand, you have 13^2 = 13 * 13 which is 169, 5^2 = 5 * 5 which is 25, 10^2 = 10 * 10 which is 100, and 6^2 = 6 * 6 which is 36. Okay. That was just getting exponents out of the way the rest should be pretty easy. Rewrite the problem using the numbers you just found. For example, instead of writing 13^2, you'll write 169. Once you do that you'll have 169 * 25 - 100 * 36. The next thing in PEMDAS is Multiplication. But be careful. You need to do all Multiplication and division from left to write at this point. However, there is no division so there's nothing to worry about. So do all the Multiplication. 169 * 25 is 4225 and 100 * 36 is 3600. Now rewrite the problem. You should have 4225 - 3600. Now you want to just subtract. But remember, that all you're doing is the last step of PEMDAS - addition and subtraction from left to write. And 4225 - 3600 = 625. 625 is your answer to simplifying this expression.