Question

(-7y²d)²
choose an action to perform.
ways to rewrite expressions
apply exponent\tcombine like terms
convert negative exponent\tdistribute
perform multiplication\trewrite division as multiplication
rewrite fractions\trewrite signs
apply property of exponents

Explanation:

Step1: Apply exponent to each factor

Use the power of a product rule: $(ab)^n = a^n b^n$
$$(-7y^2d)^2 = (-7)^2 \cdot (y^2)^2 \cdot d^2$$

Step2: Calculate each exponent

Compute each term separately
$$(-7)^2 = 49, \quad (y^2)^2 = y^{2 \times 2} = y^4, \quad d^2 = d^2$$

Step3: Combine the results

Multiply the simplified terms together
$$49 \cdot y^4 \cdot d^2$$

Answer:

$49y^4d^2$

Action to Choose:

Apply Property of Exponents, Apply Exponent