What expression is equivalent to 5 to the 6th power?<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The expression equivalent to (5^6) is:<\/p>\n\n\n\n [ The notation (5^6) represents 5 raised to the power of 6<\/strong>, or 5 raised to the sixth exponent<\/strong>. In mathematical terms, an expression like (a^n) means that the base (a) is multiplied by itself (n) times. Here, the base is 5, and the exponent (or power) is 6. Therefore, (5^6) is the product of six 5’s multiplied together.<\/p>\n\n\n\n The exponentiation rule tells us that when the same base is multiplied by itself multiple times, we can simply write the product as a base raised to the power. For example: Exponents, or powers, are widely used in various fields such as algebra, physics, computer science, and finance. They allow for a compact way of expressing large numbers, especially when calculating repeated multiplication, growth patterns, or exponential decay. In this case, (5^6) is a simple expression of repeated multiplication that can easily be expanded or calculated as shown.<\/p>\n","protected":false},"excerpt":{"rendered":" What expression is equivalent to 5 to the 6th power? The Correct Answer and Explanation is: The expression equivalent to (5^6) is: [5^6 = 5 \\times 5 \\times 5 \\times 5 \\times 5 \\times 5] Explanation: The notation (5^6) represents 5 raised to the power of 6, or 5 raised to the sixth exponent. 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5^6 = 5 \\times 5 \\times 5 \\times 5 \\times 5 \\times 5
]<\/p>\n\n\n\nExplanation:<\/h3>\n\n\n\n
Step-by-Step Breakdown:<\/h4>\n\n\n\n
\n
[
5^6 = 5 \\times 5 \\times 5 \\times 5 \\times 5 \\times 5
]<\/li>\n\n\n\n
[
5 \\times 5 = 25
]
Then:
[
25 \\times 5 = 125
]
[
125 \\times 5 = 625
]
[
625 \\times 5 = 3125
]
[
3125 \\times 5 = 15625
]
Thus, (5^6 = 15625).<\/li>\n<\/ol>\n\n\n\nMathematical Rule of Exponents:<\/h4>\n\n\n\n
[
a^m \\times a^n = a^{m+n}
]
This rule is helpful for simplifying larger expressions, as seen in the example above.<\/p>\n\n\n\nApplications of Exponents:<\/h4>\n\n\n\n