Answer:

1. 7c⁶y⁴z⁷ · 10c⁴y⁵z³

2. 87r³t · —5rt³

3. -9y³z⁴ · 4y⁴z³ · -6yz

4. -6(5c + 4b)

5. -8yz²(-7yz³– 6 )

Remember:

✓ Multiplying negative and positive gives you negative as a result.

✓ Multiplying numbers with same signs, either both negative or both positive, gives positive as a result.

✓ Multiplying variables means adding the exponents.1. 7c⁶y⁴z⁷ · 10c⁴y⁵z³

2. 87r³t · —5rt³

3. -9y³z⁴ · 4y⁴z³ · -6yz

4. -6(5c + 4b)

5. -8yz²(-7yz³– 6 )

Remember:

✓ Multiplying negative and positive gives you negative as a result.

✓ Multiplying numbers with same signs, either both negative or both positive, gives positive as a result.

✓ Multiplying variables means adding the exponents.

✓Finding Products using the Laws of Exponent

1. 7c⁶y⁴1. 7c⁶y⁴z⁷ · 10c⁴y⁵z³

2. 87r³t · —5rt³

3. -9y³z⁴ · 4y⁴z³ · -6yz

4. -6(5c + 4b)

5. -8yz²(-7yz³– 6 )

Remember:

✓ Multiplying negative and positive gives you negative as a result.

✓ Multiplying numbers with same signs, either both negative or both positive, gives positive as a result.

✓ Multiplying variables means adding the exponents.⁷ · 10c⁴y⁵z³

\begin{gathered}7c⁶y⁴z⁷ ·10c⁴y⁵z³ \\ \large{\boxed{70c {}^{10} y {}^{9} z {}^{10} }}\end{gathered}

7c⁶y⁴z⁷⋅10c⁴y⁵z³

70c

10

y

9

z

10

2. 87r³t · —5rt³

\begin{gathered}87r³t · —5rt³ \\ \large { \boxed{ - 435r {}^{4} t {}^{4} }}\end{gathered}

87r³t⋅—5rt³

−435r

4

t

4

3. -9y³z⁴ · 4y⁴z³ · -6yz

\begin{gathered}-9y³z⁴ · 4y⁴z³ · -6yz \\ - 36 y { }^{7}z {}^{7} · - 6yz \\ \large{ \boxed{216y {}^{8} z {}^{8} }}\end{gathered}

−9y³z⁴⋅4y⁴z³⋅−6yz

−36y

7

z

7

⋅−6yz

216y

8

z

8

4. -6(5c + 4b)

\begin{gathered} - 6(5c + 4b) \\ - 6(5c) - 6(4b) \\ \large{ \boxed{ - 30c - 24b}}\end{gathered}

−6(5c+4b)

−6(5c)−6(4b)

−30c−24b

5. -8yz²(-7yz³– 6 )

\begin{gathered}-8yz²(-7yz³– 6 ) \\ - 8yz {}^{2} ( - 7yz {}^{3} ) - ( - 8yz {}^{2} )( 6) \\ \large {\boxed{56y {}^{2} z {}^{5} + 48yz {}^{2} }}\end{gathered}

−8yz²(−7yz³–6)

−8yz

2

(−7yz

3

)−(−8yz

2

)(6)

56y

2

z

5

+48yz

2

Remember:

✓ Multiplying negative and positive gives

ered}7c⁶y⁴z⁷ ·10c⁴y⁵z³ \\ \large{\boxed{70c {}^{10} y {}^{9} z {}^{10} }}\end{gathered}

7c⁶y⁴z⁷⋅10c⁴y⁵z³

70c

10

y

9

z

10

2. 87r³t · —5rt³

\begin{gathered}87r³t · —5rt³ \\ \large { \boxed{ - 435r {}^{4} t {}^{4} }}\end{gathered}

87r³t⋅—5rt³

−435r

4

t

4

3. -9y³z⁴ · 4y⁴z³ · -6yz

\begin{gathered}-9y³z⁴ · 4y⁴z³ · -6yz \\ - 36 y { }^{7}z {}^{7} · - 6yz \\ \large{ \boxed{216y {}^{8} z {}^{8} }}\end{gathered}

−9y³z⁴⋅4y⁴z³⋅−6yz

−36y

7

z

7

⋅−6yz

216y

8

z

8

4. -6(5c + 4b)

\begin{gathered} - 6(5c + 4b) \\ - 6(5c) - 6(4b) \\ \large{ \boxed{ - 30c - 24b}}\end{gathered}

−6(5c+4b)

−6(5c)−6(4b)

−30c−24b

5. -8yz²(-7yz³– 6 )

\begin{gathered}-8yz²(-7yz³– 6 ) \\ - 8yz {}^{2} ( - 7yz {}^{3} ) - ( - 8yz {}^{2} )( 6) \\ \large {\boxed{56y {}^{2} z {}^{5} + 48yz {}^{2} }}\end{gathered}

−8yz²(−7yz³–6)

−8yz

2

(−7yz

3

)−(−8yz

2

)(6)

56y

2

z

5

+48yz

2

Remember:

✓ Multiplying negative and positive gives you negative as a result.

✓ Multiplying numbers with same signs, either both negative or both positive, gives positive as a result.

✓ Multiplying variables means adding the exponents.