Question

4^-4×4^2 аомогитеее пжжжж​

Answer 1

4⁻⁴*4² = 4⁻⁴⁺² = 4⁻² = $\frac{1}{16}$

Формула: $a^n * a^n = a^n^+^n$

Answer 2

To simplify the expression 4^-4 × 4^2, you can follow the rules of exponents.

First, remember that the rule for multiplying two terms with the same base is to add their exponents. So, in this case:

4^-4 × 4^2 = 4^(-4 + 2)

Now, simplify the exponent:

4^(-4 + 2) = 4^(-2)

The rule for a negative exponent is to take the reciprocal of the base with the positive exponent. So:

4^(-2) = 1 / 4^2

Finally, calculate the value:

1 / 4^2 = 1 / 16

So, the simplified value of the expression 4^-4 × 4^2 is 1/16.