Question

simplify. express your answer using positive exponents. 8cd·4c⁶d

Explanation:

Step1: Group constant and variable terms

$(8 \cdot 4) \cdot (c \cdot c^6) \cdot (d \cdot d)$

Step2: Multiply constant coefficients

$8 \cdot 4 = 32$

Step3: Apply exponent rule $x^a \cdot x^b = x^{a+b}$ to $c$ terms

$c^1 \cdot c^6 = c^{1+6} = c^7$

Step4: Apply exponent rule to $d$ terms

$d^1 \cdot d^1 = d^{1+1} = d^2$

Step5: Combine all simplified terms

$32 \cdot c^7 \cdot d^2$

Answer:

$32c^7d^2$