Question

solve this problem -1/a^-2
Answer
Simplify this expression. (5)^–5 (5)^7
Answer
(q^9)^2
Answer
(5t^3)^-4
Answer
What is the value of 12x^-3 y^-1 for x = -1 and y = 5?
Answer
(t^–4)^–9 t^2
Answered by GPT 3.5
To solve this problem, we can simplify the expression step by step:

-1/a^-2 = -1/(1/a^2) (Rewriting the exponent as a positive power)
-1/a^-2 = -a^2 (Inverting the fraction)

Therefore, the solution to the problem is -a^2.
Answered by GPT 3.5
To simplify this expression, we can use the property of exponents that states when you multiply two numbers with the same base, you add the exponents.

(5)^-5 * (5)^7 = 5^(7-5) = 5^2

Therefore, the simplified expression is 25.
Answered by GPT 3.5
To simplify the expression (q^9)^2, we use the properties of exponents which states that raising a power to a power, we multiply the exponents:

(q^9)^2 = q^(9*2)
(q^9)^2 = q^18

Therefore, the simplified expression is q^18.
Answered by GPT 3.5
To simplify the expression (5t^3)^-4, we apply the rule that a negative exponent signifies the reciprocal of the expression raised to the positive exponent:

(5t^3)^-4 = 1 / (5t^3)^4
= 1 / (5^4 * (t^3)^4)
= 1 / (625 * t^12)
= 1 / 625t^12

Therefore, the simplified expression is 1 / 625t^12.
Answered by GPT 3.5
To find the value of the expression 12x^-3y^-1 for x = -1 and y = 5, we substitute the values of x and y into the expression and simplify:

Expression = 12x^-3y^-1
Substitute x = -1 and y = 5:
= 12(-1)^-3(5)^-1
= 12(1/(-1)^3)(1/5)
= 12 * (1/-1) * (1/5)
= 12 * (-1) * (1/5)
= -12/5

Therefore, the value of the expression 12x^-3y^-1 for x = -1 and y = 5 is -12/5.
Answered by GPT 3.5
To simplify the expression (t^–4)^–9 * t^2, we can first simplify the expression within the parentheses and then apply the rule of multiplying exponents when the bases are the same:

(t^–4)^–9 = t^(–4 * –9) = t^36

Now, we multiply this result by t^2:

t^36 * t^2 = t^(36+2) = t^38

Therefore, the simplified expression is t^38.