Question

Simplify 9^-3×9^9 in exponential form

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify 9^-3 × 9^9 in exponential form, we can use the rule that states when multiplying two numbers with the same base, we add their exponents.

Therefore, 9^-3 × 9^9 can be written as 9^(-3+9).

Simplifying the exponents, we get 9^(6).

Thus, 9^-3 × 9^9 can be written in exponential form as 9^6.

Answer 2

Simplify x³\cdotx

Answer 3

[AI-generated answer — Bot GPT 3.5]

To simplify x³⋅x, we can use the rule that states that when multiplying two numbers with the same base, we add their exponents.

Therefore, x³⋅x can be written as x^(3+1).

Simplifying the exponents, we get x^4.

Thus, x³⋅x can be simplified to x^4.

Answer 4

Simplify 4^13×4^-9 in exponential form

Answer 5

[AI-generated answer — Bot GPT 3.5]

To simplify 4^13 × 4^-9 in exponential form, we can use the rule that states when multiplying two numbers with the same base, we add their exponents.

Therefore, 4^13 × 4^-9 can be written as 4^(13+(-9)).

Simplifying the exponents, we get 4^4.

Thus, 4^13 × 4^-9 can be written in exponential form as 4^4.

Answer 6

Simplify 7¹⁵×7 in exponential form

Answer 7

[AI-generated answer — Bot GPT 3.5]

To simplify 7¹⁵ × 7 in exponential form, we can add the exponents since the bases are the same.

Therefore, 7¹⁵ × 7 can be written as 7^(15+1).

Simplifying the exponents, we get 7^16.

Thus, 7¹⁵ × 7 can be simplified to 7^16 in exponential form.

Answer 8

Find the missing value for y^-2\cdoty^?=y^11

?=

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the missing value for y^-2⋅y^?=y^11, we can use the rule that states when multiplying two numbers with the same base, we add their exponents.

Therefore, y^-2⋅y^? can be written as y^(-2+?) and is equal to y^11.

To solve for ?, we can equate the exponents:

-2 + ? = 11

Adding 2 to both sides, we get:

? = 13

Thus, the missing value in y^-2⋅y^?=y^11 is ?=13.

Answer 10

Simplify 4⁶×4⁹ in exponential form

Answer 11

[AI-generated answer — Bot GPT 3.5]

To simplify 4⁶ × 4⁹ in exponential form, we can use the rule that states when multiplying two numbers with the same base, we add their exponents.

Therefore, 4⁶ × 4⁹ can be written as 4^(6+9).

Simplifying the exponents, we get 4^15.

Thus, 4⁶ × 4⁹ can be written in exponential form as 4^15.

Answer 12

Simplify z^-15\cdotz^15

Answer 13

[AI-generated answer — Bot GPT 3.5]

To simplify z^-15 × z^15, we can use the rule that states when multiplying two numbers with the same base, we add their exponents.

Therefore, z^-15 × z^15 can be written as z^(-15+15).

Simplifying the exponents, we get z^0.

Any number (except for 0) raised to the power of 0 is equal to 1.

Thus, z^-15 × z^15 can be simplified to 1.

Answer 14

Z^-5\cdotz^15

Answer 15

[AI-generated answer — Bot GPT 3.5]

To simplify z^-5 × z^15, we can use the rule that states when multiplying two numbers with the same base, we add their exponents.

Therefore, z^-5 × z^15 can be written as z^(-5+15).

Simplifying the exponents, we get z^10.

Thus, z^-5 × z^15 can be simplified to z^10.