Final answer:
To simplify 8/7⁻² without using an exponent, rewrite the exponent as a fraction. Divide 8 by 1/7² by multiplying by the reciprocal. Simplify the expression to get the result 392.
Step-by-step explanation:
To simplify the expression 8/7⁻² without using an exponent, we can rewrite the exponent as a fraction. When the exponent is negative, it means that the base is in the denominator. So, 7⁻² is equivalent to 1/7². Now, we can rewrite the expression as 8/(1/7²). To divide by a fraction, we multiply by its reciprocal. So, 8/(1/7²) becomes 8 * (7²/1). Finally, we calculate the result: 8 * (49/1) = 392.