The other two expressions that have value of 256 is 4⁴ and 16².
Given the exponent expression 2⁸ has a value of 256.
We want to write two other exponential expressions that have value 256.
The given expression is 2⁸=256
The above expression can be written as
2×2×2×2×2×2×2×2=256
By using the Associative property of multiplication, we can write them as
(2×2)×(2×2)×(2×2)×(2×2)=256
4×4×4×4=256
4⁴=256
and it can also be written as by using the associative property of multiplication again and get
(2×2×2×2)×(2×2×2×2)=256
16×16=256
16²=256
Hence, the two other exponential expression of 256 other than 2⁸ is 4⁴ and 16².
Learn more about the exponential expression from here brainly.com/question/17003520
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Answer:
0.15
Step-by-step explanation:
Answer:sin
2
θ
=
−
120
169
and
cos
2
θ
=
−
119
169
Explanation:
As
sin
θ
=
−
12
13
i.e. negative and
cos
θ
is positive,
θ
lies in
Q
4
i.e.
3
π
2
<
θ
<
2
π
cos
θ
=
√
1
−
(
−
12
13
)
2
−
√
1
−
144
169
=
√
25
169
=
5
13
Hence,
sin
2
θ
=
2
sin
θ
cos
θ
=
2
×
(
−
12
13
)
×
5
13
=
−
120
169
and
cos
2
θ
=
cos
θ
−
sin
2
θ
=
25
169
−
144
169
=
−
119
169
Step-by-step explanation:
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Pi, which begins with 3.14, is one of the most common irrational numbers. Pi is determined by calculating the ratio of the circumference of a circle (the distance around the circle) to the diameter of that same circle (the distance across the circle). Pi has been calculated to over a quadrillion decimal places, but no pattern has ever been found; therefore it is an irrational number.The Square Root of 2, written as √2, is also an irrational number. The first part of this number would be written as 1.41421356237…but the numbers go on into infinity and do not ever repeat, and they do not ever terminate. A square root is the opposite of squaring a number, meaning that the square root of two times the square root of two equals two. This means that 1.41421356237… multiplied by 1.41421356237… equals two, but it is difficult to be exact in showing this because the square root of two does not end, so when you actually do the multiplication, the resulting number will be close to two, but will not actually be two exactly. Because the square root of two never repeats and never ends, it is an irrational number. Many other square roots and cubed roots are irrational numbers; however, not all square roots are.
