Question

1)а^-3*a^2/2^-3 2)a^6*(a^-1)^3/a^2

Answer 1

Если что-то непонятно напиши

Answer 2

Let's simplify each of these expressions step by step:

1. a^-3 * a^2 / 2^-3

First, let's simplify the negative exponent: a^-3 = 1/a^3

Now, rewrite the expression with the simplified exponent: (1/a^3) * a^2 / 2^-3

Next, simplify 2^-3: 2^-3 = 1/(2^3) = 1/8

Now, we have: (1/a^3) * a^2 / (1/8)

To divide by a fraction, multiply by its reciprocal: (1/a^3) * a^2 * (8/1)

Now, multiply the coefficients and combine the variables with the same base (a): (1 * 8) / (a^3 * a^-2)

Multiply the coefficients: 8 / (a^(3 - 2))

Now, simplify the exponent: 8 / a^1

So, the simplified expression is: 8/a

2. a^6 * (a^-1)^3 / a^2

First, simplify the negative exponent: a^-1 = 1/a

Now, rewrite the expression with the simplified exponent: a^6 * (1/a)^3 / a^2

Next, simplify (1/a)^3: (1/a)^3 = 1/a^3

Now, we have: a^6 * (1/a^3) / a^2

To divide by a fraction, multiply by its reciprocal: a^6 * (1/a^3) * (1/1) / a^2

Now, multiply the coefficients and combine the variables with the same base (a): (a^6 * 1 * 1) / (a^3 * a^2)

Multiply the coefficients: a^(6 - 3 - 2)

Now, simplify the exponent: a^1

So, the simplified expression is: a