Question

simplify. express your answer using positive exponents.
(5bcd⁵)(9b³c⁴d)(6bcd⁴)

Explanation:

Step1: Multiply the coefficients

$5 \times 9 \times 6 = 270$

Step2: Combine $b$ terms (add exponents)

$b^1 \times b^3 \times b^1 = b^{1+3+1} = b^5$

Step3: Combine $c$ terms (add exponents)

$c^1 \times c^4 \times c^1 = c^{1+4+1} = c^6$

Step4: Combine $d$ terms (add exponents)

$d^5 \times d^1 \times d^4 = d^{5+1+4} = d^{10}$

Step5: Multiply all simplified terms

$270 \times b^5 \times c^6 \times d^{10}$

Answer:

$270b^5c^6d^{10}$