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For questions 1 and 2 , write each expression using a single exponent.
1 ) x 9 : x 2 = x 7 2 ) h 14 : h 5 = h 9
For questions 3 and 4, simplify each expression. 3 ) 4 4 : 4 6 = 4 − 2 = 4 2 1 ​ = 16 1 ​ 4 ) 5 0 = 1
For questions 6-8, multiply the following polynomial. 6 ) − 2 r ( 8 r + 5 ) = − 16 r 2 − 10 r 7 ) 4 a ( a 2 + 7 a + 4 ) = 4 a 3 + 28 a 2 + 16 a 8 ) ( 2 y − 3 ) ( 3 y − 2 ) = 6 y 2 − 4 y − 9 y + 6 = 6 y 2 − 13 y + 6

Answered by Ryan2 | 2024-06-10

The expression can be simplified to x 7 .

The expression simplifies to h 9 .

The expression simplifies to 1/16.

5 0 = 1.

The simplified expression is − 16 r 2 − 10 r .

The simplified expression becomes 4 a 3 + 28 a 2 + 16 a .

The simplified expression is 6 y 2 − 13 y + 6.



To write the expression x 9 / x 2 using a single exponent, we can subtract the exponents since the base (x) is the same:

x 9 / x 2 = x 9 − 2 = x 7
Therefore, the expression can be simplified to x 7 .

Similarly, to write the expression h 14 / h 5 using a single exponent, we subtract the exponents:

h 14 / h 5 = h 14 − 5 = h 9
So, the expression simplifies to h 9 .

To simplify 4 4 / 4 6 , we can subtract the exponents:

4 4 / 4 6 = 4 4 − 6 = 4 − 2
Now, since we have a **negative exponent, **we can rewrite it as the reciprocal with a positive exponent:
4 − 2 = 1/ 4 2 = 1/16
Therefore, the expression simplifies to 1/16.

The expression 5 0 is a special case where any non-zero number raised to the power of 0 equals 1. So, 5 0 = 1.

To multiply -2r by (8r + 5), we distribute -2r to both terms inside the parentheses:


− 2 r ∗ 8 r = − 16 r 2 − 2 r ∗ 5 = − 10 r
Putting it together, the simplified expression is − 16 r 2 − 10 r .

Similarly, to multiply 4a by ( a 2 + 7 a + 4 ) , we distribute 4a to each term inside the parentheses:

4 a ∗ a 2 = 4 a 3 4 a ∗ 7 a = 28 a 2 4 a ∗ 4 = 16 a
The simplified expression becomes 4 a 3 + 28 a 2 + 16 a .

To multiply (2y - 3) by (3y - 2), we can use the distributive property:

( 2 y − 3 ) ( 3 y − 2 ) = 2 y ∗ 3 y + 2 y ∗ ( − 2 ) − 3 ∗ 3 y − 3 ∗ ( − 2 )
Simplifying further:
6 y 2 − 4 y − 9 y + 6 = 6 y 2 − 13 y + 6
Therefore, the simplified expression is 6 y 2 − 13 y + 6.
To know more about expression:
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Complete question is:
For questions 1 and 2 , write each expression using a single exponent.
1 ) x 9 / x 2 2 ) h 14 / h 5
For questions 3 and 4, simplify each expression.
3 ) 4 4 / 4 6 4 ) 5 0
For questions 6-8, multiply the following polynomial.
6 ) − 2 r ( 8 r + 5 ) 7 ) 7 ) 4 a ( a 2 + 7 a + 4 ) 8 ) ( 2 y − 3 ) ( 3 y − 2 )

Answered by NancyJain | 2024-06-17

We simplified the expressions using the laws of exponents for problems 1 and 2, leading to x 7 and h 9 . For problems 3 and 4, we obtained 16 1 ​ and 1 . Finally, the results for questions 6, 7, and 8 are − 16 r 2 − 10 r , 4 a 3 + 28 a 2 + 16 a , and 6 y 2 − 13 y + 6 respectively.
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Answered by Ryan2 | 2024-10-12

Jawaban:mkn buku kak............

Answered by colorijogreen | 2025-07-02