Simplify. Do not use negative exponents in the answer. -25a^-2/10b^-4
HAVING A HARD TIME WITH THIS ONE!! i KNOW YOU REVERSE THE LETTERS AND THE NEGATIVE POWERS ARE TURNED INTO POSITIVE AND RECIPROCATED BUT THE -24/10 I CANT FIGURE OUT FROM THE EXAMPLE I WAS GIVEN. PLEASE HELP!!
(-25/10)(1/A^2)( B^4)
-25 B^4/(10 A^2)
To simplify the expression -25a^-2/10b^-4 without using negative exponents, we can follow these steps:
Step 1: Reverse the letters and make the negative exponents positive:
-25a^-2/10b^-4 becomes -25(1/a^2)/(10(1/b^4)).
Step 2: Distribute the negative sign to both the numerator and denominator:
-25(1/a^2)/(10(1/b^4)) = -25/10 * (1/a^2) * (1/1/b^4).
Step 3: Simplify the expression inside the parentheses:
-25/10 * (1/a^2) * (1/1/b^4) = (-5/2) * (1/a^2) * (1/b^4).
Step 4: Multiply the constants -5 and 2 together:
(-5/2) * (1/a^2) * (1/b^4) = -5/2a^2b^4.
So the simplified form of -25a^-2/10b^-4 without using negative exponents is -5/2a^2b^4.