Question

1 fill in the blank 12.5 points simplify the expression. $4x^{5} \cdot 6x^{2}y^{6} \cdot xy$ type your answer... x type your answer... y type your answer... 2 fill in the blank 12.5 points simplify the expression. $(3a^{2}b^{3})(7ab^{5})(a^{0}b^{2})$ type your answer... a type your answer... b type your answer...

Explanation:

Step1: Multiply constant coefficients

$4 \times 6 = 24$

Step2: Combine $x$-terms (add exponents)

$x^5 \times x^2 \times x = x^{5+2+1} = x^8$

Step3: Combine $y$-terms (add exponents)

$y^6 \times y = y^{6+1} = y^7$

Step4: Multiply constant coefficients (2nd problem)

$3 \times 7 \times 1 = 21$

Step5: Combine $a$-terms (add exponents)

$a^2 \times a \times a^0 = a^{2+1+0} = a^3$

Step6: Combine $b$-terms (add exponents)

$b^3 \times b^5 \times b^2 = b^{3+5+2} = b^{10}$

Answer:

1. $24x^8y^7$ → Blanks: $24$, $8$, $7$
2. $21a^3b^{10}$ → Blanks: $21$, $3$, $10$