Answer:
x = 13
Step-by-step explanation:
Here, the fraction and division together becomes reciprocal and multiplication.
So, the equation becomes
(-2)^19 × (-2)^8 = (-2)^2x+1
Now using the identity
a^m × a^n = a^(m+n),
the equation becomes
(-2)^(19+8) = (-2)^(2x+1)
by which (2x + 1) becomes equal to 19+8 (27).
Because if the base is equal, powers are also equal.
Therefore, 2x + 1 = 27
2x = 27 - 1
2x = 26
x = 26 ÷ 2
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Answers & Comments
Answer:
x = 13
Step-by-step explanation:
Here, the fraction and division together becomes reciprocal and multiplication.
So, the equation becomes
(-2)^19 × (-2)^8 = (-2)^2x+1
Now using the identity
a^m × a^n = a^(m+n),
the equation becomes
(-2)^(19+8) = (-2)^(2x+1)
by which (2x + 1) becomes equal to 19+8 (27).
Because if the base is equal, powers are also equal.
Therefore, 2x + 1 = 27
2x = 27 - 1
2x = 26
x = 26 ÷ 2
x = 13
_______
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